Final answer:
The greatest common factor (GCF) of 96359635 and 6432264322 is found by identifying the common prime factors and choosing the lowest powers among them. The GCF is the product 33 × 11 × 13, which is 3215. Hence, the correct answer is D. 3215.
Step-by-step explanation:
To find the greatest common factor (GCF) of two monomials, we need to identify the highest number that divides both monomials without any remainder. We can do this by breaking down both numbers into their prime factors.
Let's break down 96359635 as:
96359635 = 35 × 72 × 111 × 131
And for 6432264322:
6432264322 = 21 × 33 × 111 × 132 × 171
The GCF is the product of the lowest powers of common prime factors, which are 33, 11, and 13. Thus:
GCF(96359635, 6432264322) = 33 × 11 × 13 = 3215
Therefore, the correct answer to the question is D. 3215.