Question

If a=2^3 x 3^7 x 5^3 x 11^4 and b= 2^2 x 3^5 x 7^2 x 11 x 13 , find the following:

A. GCF (a,b)

Answer 1

10,692

Explanation:

GCF stands for Greatest Common Factor.

The way to find it is easy once you have the prime decomposition.

Search for common factors in the decomposition and take the least power, then multiply them all.

So, in our case, as the numbers are already broken down into prime factors , we have

`GFC(a,b)=2^2.3^5.11=10,692`