How do you find the GCF of 35 and 65?

2 Answers
Apr 12, 2017

See explanation.

Explanation:

To find the #GCF# of 2 numbers you have to do the prime decomposition of both numbers (write both numbers as a product of prime numbers or their powers)

#35=5xx7#

#65=5xx13#

The greatest common factor #GCF# is a product of all prime numbers which occur in both products. Here only a number #5# appears in both products, so

#GCF(35,65)=5#

Apr 12, 2017

A tip!

Explanation:

If the last digit (rightmost) is a 0 or a 5 then the whole number is divisible by 5.