Question

for any positive integer like 4, the value of 4! is 4 x 3 x 2 x 1. What is the greatest common factor of 6! and 5! ?

Answer 1

The greatest common factor of 6! and 5! is 60.

Step-by-step explanation:

The greatest common factor of 6! and 5! can be found by comparing the prime factorizations of the two numbers.
The prime factorization of 6! can be written as 6 x 5 x 4 x 3 x 2 x 1, which can be simplified to 2 x 2 x 2 x 3 x 5.
The prime factorization of 5! can be written as 5 x 4 x 3 x 2 x 1, which can be simplified to 2 x 2 x 3 x 5.

Comparing the prime factorizations, we can see that the common factors are 2, 2, 3, and 5. Therefore, the greatest common factor of 6! and 5! is 2 x 2 x 3 x 5, which simplifies to 60.