What is the Greatest Common Factor of 91332 and 91344?

Greatest common factor (GCF) of 91332 and 91344 is 12.

GCF(91332,91344) = 12

We will now calculate the prime factors of 91332 and 91344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91332 and 91344.

How to find the GCF of 91332 and 91344?

We will first find the prime factorization of 91332 and 91344. After we will calculate the factors of 91332 and 91344 and find the biggest common factor number .

Step-1: Prime Factorization of 91332

Prime factors of 91332 are 2, 3, 43, 59. Prime factorization of 91332 in exponential form is:

91332 = 2² × 3² × 43¹ × 59¹

Step-2: Prime Factorization of 91344

Prime factors of 91344 are 2, 3, 11, 173. Prime factorization of 91344 in exponential form is:

91344 = 2⁴ × 3¹ × 11¹ × 173¹

Step-3: Factors of 91332

List of positive integer factors of 91332 that divides 91332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 59, 86, 118, 129, 172, 177, 236, 258, 354, 387, 516, 531, 708, 774, 1062, 1548, 2124, 2537, 5074, 7611, 10148, 15222, 22833, 30444, 45666

Step-4: Factors of 91344

List of positive integer factors of 91344 that divides 91332 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 173, 176, 264, 346, 519, 528, 692, 1038, 1384, 1903, 2076, 2768, 3806, 4152, 5709, 7612, 8304, 11418, 15224, 22836, 30448, 45672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91332 and 91344. The biggest common factor number is the GCF number.
So the greatest common factor 91332 and 91344 is 12.

Also check out the Least Common Multiple of 91332 and 91344