What is the Greatest Common Factor of 91462 and 91476?

Greatest common factor (GCF) of 91462 and 91476 is 14.

GCF(91462,91476) = 14

We will now calculate the prime factors of 91462 and 91476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91462 and 91476.

How to find the GCF of 91462 and 91476?

We will first find the prime factorization of 91462 and 91476. After we will calculate the factors of 91462 and 91476 and find the biggest common factor number .

Step-1: Prime Factorization of 91462

Prime factors of 91462 are 2, 7, 47, 139. Prime factorization of 91462 in exponential form is:

91462 = 2¹ × 7¹ × 47¹ × 139¹

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 91462

List of positive integer factors of 91462 that divides 91462 without a remainder.

1, 2, 7, 14, 47, 94, 139, 278, 329, 658, 973, 1946, 6533, 13066, 45731

Step-4: Factors of 91476

List of positive integer factors of 91476 that divides 91462 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 91462 and 91476. The biggest common factor number is the GCF number.
So the greatest common factor 91462 and 91476 is 14.

Also check out the Least Common Multiple of 91462 and 91476