The factors of 12 are:
1, 2, 3, 4, 6, 12
The factors of 20 are:
1, 2, 4, 5, 10, 20
The common factors are:
1, 2, 4
The Greatest Common Factor:
GCF = 4
The factors of 12 are: 1, 2, 3, 4, 6, and 12
The factors of 20 are: 1, 2, 4, 5, 10, and 20
The greatest factor common to both is 4.
Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater. Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.
This is because the two numbers, the numerator and denominator have no common factors. If it were 2 over 4, you could factor out a 2 from both the top and bottom, making it 1 over 2. Two numbers without common factors are called relatively prime. Because 31 and 33 are relatively prime, they can not be simplified.
it helps by making the number more smallyou can put it in oder from least to greatest this way
You cannot. The concept of factors makes sense only in the context of integers. As soon as you introduce fractions the concept stops making sense. Why? Because in fractional terms, every non-zero number divides into every other number. So is 2.73 a factor of 80.9? Yes, of course. 2.73 goes into 80.9 exactly 80.9/2.73 = 8090/273 times! Then, given any two decimals, each and every non-zero number is a common factor of both of them. The greatest common factor is then infinitely large.
By making a triangle
The greatest common factor of 60, 45, 30 would be 15. This is because all these numbers easily divide by 15. 60/15=4 45/15=3 30/15=2 Although these numbers are also all divisible by 5, 15 is greater than 5 making it the greatest common factor
You can factor out a 7 making it 3 and 4.
The number one goes into every number making the the least (lowest) common factor.
The greatest common factor is . You can figure this out by finding all of the factors of the smallest number, then, starting with the largest factor, seeing if it is a factor of all the numbers. The factors of 18 are 18, 9, 6, 3, 2, and 1. 18 is not a factor of 51 or 81 (you know quickly because it is an even number while 51 and 81 are odd), 9 isn't (because 5+1 does not = 9 or a multiple of 9), and 6 isn't for the same reason as 18. 3 is a factor of all three (you can tell quickly because 5+1 and 8+1 both add up to multiples of 3), making it the greatest common factor. While 1 is also a factor of all three numbers, it is not the greatest common factor because 3 is larger.
Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater. Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.
The greatest common factor for 43 and 32 is 1. Method 1: Factoring completely, we determine that: 32 = 2 * 2 * 2 * 2 * 2 * 1 43 = 43 * 1 The only factor that these two have in common is 1, making this the greatest common factor. Method 2: We notice that 32 is a power of 2 (2 ^ 5, to be exact), so its only unique factors are 1 and 2. Since 43 is odd, it does not have 2 as a factor. Therefore, the only factor that they could have in common is 1, making that the greatest common factor. Method 3: We notice that 43 is a prime number, meaning that its only factors are 1 and itself. Since 32 is not a multiple of 43 (impossible, being smaller), the only common factor they could have is 1.
The greatest common factor is the biggest number that multiplies into making 15w and 21.15w = 3 • 5 • w21 = 3 • 7So the GCF is 3. We simply pull it out from the problem.3(5w+7)
By definition, every even number has 2 as a factor. That means that every set of even numbers will have at least 2 as a common factor. The GCF might be higher, but if it has 2 as a factor, it's even.
It used to be called "reducing to lowest terms"; nowadays I think it's called "writing the fractionin simplest form".And by the way ... you don't divide the 'fraction' by the greatest commen factor. You divide the numeratorand denominator separately by their greatest commen factor. It makes a big difference.
10What you do is you list out all the factors of 50:50 (2, 5, 10, 25, 50)And all the factors of 60:60 (2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)Then you look through both lists and pick out the highest number that is in BOTH of the lists. In this case, that number would be 10, making 10 the greatest common factor of both 50 and 60.Note: A factor is just a number that divides evenly into another number... if you divide 50 by 25, it equals 2, making 25 a factor of 50.On the other hand if you divide 50 by 8, it equals 6.25, which is a decimal (meaning it does not divide evenly). This means that 8 is not a factor of 50.I hope that helped and that it wasn't too confusing.~Another Method:The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 50 are 2, 5, and 5.The prime factors of 60 are 2, 2, 3, and 5.The prime factors in common are 2 and 5, so the greatest common factor is 2 x 5 = 10.The Greatest Common Factor of 50, 60 is 10.The Greatest Common Factor (GCF) is: 10
It simplifies problems, therefore making them easier to solve. Ex) 1/4 + 6/12= would become 3/12 + 6/12=
the answer is 12 you can find the answer by making factor trees and multiplying the similar prime numbers.