What is the Greatest Common Factor of 91146 and 91152?

Greatest common factor (GCF) of 91146 and 91152 is 6.

GCF(91146,91152) = 6

We will now calculate the prime factors of 91146 and 91152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91146 and 91152.

How to find the GCF of 91146 and 91152?

We will first find the prime factorization of 91146 and 91152. After we will calculate the factors of 91146 and 91152 and find the biggest common factor number .

Step-1: Prime Factorization of 91146

Prime factors of 91146 are 2, 3, 11, 1381. Prime factorization of 91146 in exponential form is:

91146 = 2¹ × 3¹ × 11¹ × 1381¹

Step-2: 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-3: Factors of 91146

List of positive integer factors of 91146 that divides 91146 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1381, 2762, 4143, 8286, 15191, 30382, 45573

Step-4: Factors of 91152

List of positive integer factors of 91152 that divides 91146 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91146 and 91152. The biggest common factor number is the GCF number.
So the greatest common factor 91146 and 91152 is 6.

Also check out the Least Common Multiple of 91146 and 91152