What is the Greatest Common Factor of 91152 and 91160?

Greatest common factor (GCF) of 91152 and 91160 is 8.

GCF(91152,91160) = 8

We will now calculate the prime factors of 91152 and 91160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91152 and 91160.

How to find the GCF of 91152 and 91160?

We will first find the prime factorization of 91152 and 91160. After we will calculate the factors of 91152 and 91160 and find the biggest common factor number .

Step-1: Prime Factorization of 91152

Prime factors of 91152 are 2, 3, 211. Prime factorization of 91152 in exponential form is:

91152 = 2⁴ × 3³ × 211¹

Step-2: Prime Factorization of 91160

Prime factors of 91160 are 2, 5, 43, 53. Prime factorization of 91160 in exponential form is:

91160 = 2³ × 5¹ × 43¹ × 53¹

Step-3: Factors of 91152

List of positive integer factors of 91152 that divides 91152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 211, 216, 422, 432, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 5697, 7596, 10128, 11394, 15192, 22788, 30384, 45576

Step-4: Factors of 91160

List of positive integer factors of 91160 that divides 91152 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 53, 86, 106, 172, 212, 215, 265, 344, 424, 430, 530, 860, 1060, 1720, 2120, 2279, 4558, 9116, 11395, 18232, 22790, 45580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91152 and 91160. The biggest common factor number is the GCF number.
So the greatest common factor 91152 and 91160 is 8.

Also check out the Least Common Multiple of 91152 and 91160