What is the Greatest Common Factor of 91176 and 91188?

Greatest common factor (GCF) of 91176 and 91188 is 12.

GCF(91176,91188) = 12

We will now calculate the prime factors of 91176 and 91188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91176 and 91188.

How to find the GCF of 91176 and 91188?

We will first find the prime factorization of 91176 and 91188. After we will calculate the factors of 91176 and 91188 and find the biggest common factor number .

Step-1: Prime Factorization of 91176

Prime factors of 91176 are 2, 3, 29, 131. Prime factorization of 91176 in exponential form is:

91176 = 2³ × 3¹ × 29¹ × 131¹

Step-2: Prime Factorization of 91188

Prime factors of 91188 are 2, 3, 17, 149. Prime factorization of 91188 in exponential form is:

91188 = 2² × 3² × 17¹ × 149¹

Step-3: Factors of 91176

List of positive integer factors of 91176 that divides 91176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 131, 174, 232, 262, 348, 393, 524, 696, 786, 1048, 1572, 3144, 3799, 7598, 11397, 15196, 22794, 30392, 45588

Step-4: Factors of 91188

List of positive integer factors of 91188 that divides 91176 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 149, 153, 204, 298, 306, 447, 596, 612, 894, 1341, 1788, 2533, 2682, 5066, 5364, 7599, 10132, 15198, 22797, 30396, 45594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91176 and 91188. The biggest common factor number is the GCF number.
So the greatest common factor 91176 and 91188 is 12.

Also check out the Least Common Multiple of 91176 and 91188