What is the Greatest Common Factor of 91536 and 91552?

Greatest common factor (GCF) of 91536 and 91552 is 16.

GCF(91536,91552) = 16

We will now calculate the prime factors of 91536 and 91552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91536 and 91552.

How to find the GCF of 91536 and 91552?

We will first find the prime factorization of 91536 and 91552. After we will calculate the factors of 91536 and 91552 and find the biggest common factor number .

Step-1: Prime Factorization of 91536

Prime factors of 91536 are 2, 3, 1907. Prime factorization of 91536 in exponential form is:

91536 = 2⁴ × 3¹ × 1907¹

Step-2: Prime Factorization of 91552

Prime factors of 91552 are 2, 2861. Prime factorization of 91552 in exponential form is:

91552 = 2⁵ × 2861¹

Step-3: Factors of 91536

List of positive integer factors of 91536 that divides 91536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1907, 3814, 5721, 7628, 11442, 15256, 22884, 30512, 45768

Step-4: Factors of 91552

List of positive integer factors of 91552 that divides 91536 without a remainder.

1, 2, 4, 8, 16, 32, 2861, 5722, 11444, 22888, 45776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91536 and 91552. The biggest common factor number is the GCF number.
So the greatest common factor 91536 and 91552 is 16.

Also check out the Least Common Multiple of 91536 and 91552