greates common factor of 28 and 42 using prime factorization

Answer 1

To find the greatest common factor of 28 and 42 using prime factorization, we need to first find the prime factorization of both numbers.

The prime factorization of 28 is: 2 * 2 * 7 = 2^2 * 7
The prime factorization of 42 is: 2 * 3 * 7

Now, we look for the common prime factors:

The common prime factors are 2 and 7. However, we take the lowest power of each prime factor between the two numbers. So, the greatest common factor is 2 * 7 = 14.

Therefore, the greatest common factor of 28 and 42 is 14.