What is the Greatest Common Factor of 91464 and 91476?

Greatest common factor (GCF) of 91464 and 91476 is 12.

GCF(91464,91476) = 12

We will now calculate the prime factors of 91464 and 91476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91464 and 91476.

How to find the GCF of 91464 and 91476?

We will first find the prime factorization of 91464 and 91476. After we will calculate the factors of 91464 and 91476 and find the biggest common factor number .

Step-1: Prime Factorization of 91464

Prime factors of 91464 are 2, 3, 37, 103. Prime factorization of 91464 in exponential form is:

91464 = 2³ × 3¹ × 37¹ × 103¹

Step-2: Prime Factorization of 91476

Prime factors of 91476 are 2, 3, 7, 11. Prime factorization of 91476 in exponential form is:

91476 = 2² × 3³ × 7¹ × 11²

Step-3: Factors of 91464

List of positive integer factors of 91464 that divides 91464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 103, 111, 148, 206, 222, 296, 309, 412, 444, 618, 824, 888, 1236, 2472, 3811, 7622, 11433, 15244, 22866, 30488, 45732

Step-4: Factors of 91476

List of positive integer factors of 91476 that divides 91464 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 121, 126, 132, 154, 189, 198, 231, 242, 252, 297, 308, 363, 378, 396, 462, 484, 594, 693, 726, 756, 847, 924, 1089, 1188, 1386, 1452, 1694, 2079, 2178, 2541, 2772, 3267, 3388, 4158, 4356, 5082, 6534, 7623, 8316, 10164, 13068, 15246, 22869, 30492, 45738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91464 and 91476. The biggest common factor number is the GCF number.
So the greatest common factor 91464 and 91476 is 12.

Also check out the Least Common Multiple of 91464 and 91476