From: Fadwa

what is the greatest common factor(GCF) of the following algebraic expressions? 1680 and 6048

Hi Fadwa.

You can always find the GCF if you break the two numbers down to their prime factors. A fundamental theorem holds that each number has only one prime factorization.

For example, the prime factorization of 1680 is 2⁴ 357 and the prime factorization of 6048 is 2⁵ 3³ 7 .

The GCF of a pair of numbers is always the product of the prime factors they have in common.

Hope this helps,
Stephen La Rocque.