What is the Greatest Common Factor of 91164 and 91168?

Greatest common factor (GCF) of 91164 and 91168 is 4.

GCF(91164,91168) = 4

We will now calculate the prime factors of 91164 and 91168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91164 and 91168.

How to find the GCF of 91164 and 91168?

We will first find the prime factorization of 91164 and 91168. After we will calculate the factors of 91164 and 91168 and find the biggest common factor number .

Step-1: Prime Factorization of 91164

Prime factors of 91164 are 2, 3, 71, 107. Prime factorization of 91164 in exponential form is:

91164 = 2² × 3¹ × 71¹ × 107¹

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 91164

List of positive integer factors of 91164 that divides 91164 without a remainder.

1, 2, 3, 4, 6, 12, 71, 107, 142, 213, 214, 284, 321, 426, 428, 642, 852, 1284, 7597, 15194, 22791, 30388, 45582

Step-4: Factors of 91168

List of positive integer factors of 91168 that divides 91164 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 91164 and 91168. The biggest common factor number is the GCF number.
So the greatest common factor 91164 and 91168 is 4.

Also check out the Least Common Multiple of 91164 and 91168