What is the Greatest Common Factor of 91152 and 91168?

Greatest common factor (GCF) of 91152 and 91168 is 16.

GCF(91152,91168) = 16

We will now calculate the prime factors of 91152 and 91168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91152 and 91168.

How to find the GCF of 91152 and 91168?

We will first find the prime factorization of 91152 and 91168. After we will calculate the factors of 91152 and 91168 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 91168

Prime factors of 91168 are 2, 7, 11, 37. Prime factorization of 91168 in exponential form is:

91168 = 2⁵ × 7¹ × 11¹ × 37¹

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 91168

List of positive integer factors of 91168 that divides 91152 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 37, 44, 56, 74, 77, 88, 112, 148, 154, 176, 224, 259, 296, 308, 352, 407, 518, 592, 616, 814, 1036, 1184, 1232, 1628, 2072, 2464, 2849, 3256, 4144, 5698, 6512, 8288, 11396, 13024, 22792, 45584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91152 and 91168. The biggest common factor number is the GCF number.
So the greatest common factor 91152 and 91168 is 16.

Also check out the Least Common Multiple of 91152 and 91168