The numbers p and a written as the products of their prime factors arep= 2 ×33 x7 and g= 22 x72 x11°Find the greatest whole number that will divide both p and g exactly

To find the greatest whole number that will divide both p and g exactly, we need to find the common prime factors between the two numbers.

Let's write the prime factorization of p and g: p = 2 * 3^3 * 7 g = 2^2 * 7^2 * 11^0

To find the common prime factors, we compare the exponents of the prime factors in both numbers.

The common prime factors are 2 and 7.

To find the greatest whole number that will divide both p and g exactly, we take the product of the common prime factors with the smallest exponent.

Therefore, the greatest whole number that will divide both p and g exactly is 2^1 * 7^1 = 14