Factoring and Multiples

# What is the greatest common factor of 35 in a organized list?

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You need at least two numbers to find a GCF, whether their lists are organized or not.

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## Related Questions In the list of common factors, the greatest is the largest, the least is the smallest (which is always 1) The greatest common factor of 525, 375, and 275 is 25. The greatest common factor is the largest number that can be divided into a list of numbers evenly. The least common factor of two whole numbers is always ' 1 '. This is a big partof the reason why you'll never be asked to find it.To find the greatest common factor:-- List all the factors of the first number.-- List all the factors of the second number.-- Create another list, with all of the factors that are on both of the first two lists.-- The greatest number on the new list is the greatest common factor of the two original numbers. The Greatest Common Factor of 36 and 120 (GCF) is: 12 Greatest common factor= 7 The greatest common factor is the factor that all these numbers have in common. It helps to make a list of all the number's factors. 28- 2, 2, 7 35- 5, 7 42- 2, 3, 7 All of these numbers have 7 as a factor, therfore 7 is the greatest common factor The Greatest Common Factor is 1. If you just list all the numbers that go into nine evenly, you will find that the only number they have in common is 1.  List the factors.Use factor trees.Use factor rainbows. OK you list all the factors of each number and what ever number is the greatest and the same in both numbers that is the Greatest Common Factor Glad I could help!!!!!!!!!!!!!!! The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.  One solution would be to list the factors of the two numbers and find all the common factors. The greatest one would be the greatest common factor. 1 and 23 1 and 29 The only and therefore greatest common factor of 23 and 29 is 1. The GCF for 14 and 45 is 1 because you must list the factors for each number and then you will figure out that the greatest common factor is 1.The GCF is 1.The GCF is: 1  At least. You can list their factors or compare their prime factorizations. Factor them.2 x 5 = 102 x 3 x 3 = 18Select the common factor.The GCF is 2.How to find the greatest common factor of any two numbers:-- List all the factors of the first number. (Don't forget ' 1 ' and the number itself.)-- List all the factors of the second number. (Don't forget ' 1 ' and the number itself.)-- Make a new list: All factors that appear on both of the first two lists.-- The largest number on the third list is the greatest common factor of the original two numbers. The greatest common factor of 13 and 51 is 1.The common factors of 13 and 51 are only the number 1.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 13 are 1 and 13.The factors of 51 are 1, 3, 17, and 51.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. To then obtain the common factors, list all the factors of the greatest common factor.The prime factors of 13 are 1 and 13.The prime factors of 51 are 3 and 17.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1. -- List factors of first number. -- List factors of second number. -- Make short list of all numbers on both factor lists. -- Biggest number on short list is greatest common factor of both numbers. -- List all factors of the first number. -- List all factors of the second number. -- If there are more than two numbers, list all factors of each one. -- Find the set of factors that are on every list. -- Find the greatest factor in the set. To find both the least common factor and greatest common factor of given numbers: 1. List the factors of the given numbers. 2. Compare the factors and list the factors that are common to all the given numbers. 3. The largest is the greatest common factor and the smallest is the least common factor. This means the least common factor is 1. Additional links with information on finding the greatest common factor are provided in the "Related Questions" section below. Also is a link to a question on the least common factor. Examples: Compare 16 and 24. The factors of 16 are 1, 2, 4, 8, and 16. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The common factors are 1, 2, 4, and 8. The least common factor is 1; the greatest common factor is 8. Compare 6 and 35. The factors of 6 are 1, 2, 3, and 6. The factors of 35 are 1, 5, 7, and 35. The only common factor is 1. The least common factor is 1; the greatest common factor is 1. Compare 15 and 50. The factors of 15 are 1, 3, 5, and 15. The factors of 50 are 1, 2, 5, 10, 25, and 50. The common factors are 1 and 5. The least common factor is 1; the greatest common factor is 5. The factors of 27 are:1, 3, 9, 27The factors of 63 are:1, 3, 7, 9, 21, 63The Greatest Common Factor:GCF = 9  196: 2-2-2-2-11 1078: 2-7-7-11 Greatest common factor: 22 Method(s) used: # The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor. first break the phrase.which gives you factor firstthen common factorthen greatest common factorwhich stands for GCFso first you list the factors for each number, for an example what could go in that number or what you could multiply with then see which one goes for both and thats your answer.

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