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How do you find the greatest factor for a set of numbers?

Updated: 8/21/2019
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7y ago

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The greatest factor of a set of numbers is the greatest number in the set. It will be a factor of itself. It will not be a factor of the other numbers in the set but that is not what the question requires.


To find the greatest COMMON factor, find the prime factorisation of each number.Multiply together each prime factor raised to the lowest power is any of the numbers.

That product is the greatest common factor.

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7y ago
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7y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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Q: How do you find the greatest factor for a set of numbers?
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When two numbers are prime how do you find the greatest common factor?

The GCF of any set of prime numbers is 1.


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You need at least two numbers to find a GCF.


How do you find the greatest common factor of a set of numbers?

The greatest common factor (or GCF) is the highest number that can divide into aanother number, and not have a decimal (whole number).


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Why do you have greatest common factor and not least common factor?

The least (meaning lowest) common factor of any set of whole numbers is always 1. The greatest common factor of any set of whole numbers will depend on the factors of the individual whole numbers in the set.


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All numbers have factors. Some numbers are larger than others. The largest number in a set of factors will be the greatest factor.


Can the greatest common factor of positive numbers be greater than both numbers?

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Prime numbers and numbers that are relatively prime.


What is the biggest number that goes into a set of numbers?

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Trees aren't necessary. The greatest common multiple of any set of numbers is always infinite.


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That's known as the greatest common factor, or GCF.


Can the greatest common factor of any set of numbers be greater than any one of the numbers?

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