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The GCF of 60 and 64 is 4.
The greatest common factor of a group of numbers is the largest number that divides all the numbers.
In this case, we have to find the largest number that both 64 and 60 are divisible by.
To do this, let's break down 64 and 60 each into their prime factors (factors which are prime numbers)
64
= 8 x 8
= (2 x 4) x (2 x 4)
= (2 x 2 x 2) x (2 x 2 x 2)
60
= 12 x 5
= (2 x 6) x 5
= (2 x 2 x 3) x 5
Hence, prime factors that we calculated are (duplicates are important!)
64 - 2, 2, 2, 2, 2
60 - 2, 2, 3, 5
Next step is to get all the common factors. In this case, there are two 2s that are common. Their product is the greatest common factor ie 2 x 2 = 4
If there are no common prime factors, the greatest common factor is said to be 1, and the two numbers are said to be co-primes (eg 25 and 36) or relatively prime.
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