What is the Greatest Common Factor of 91476 and 91490?

Greatest common factor (GCF) of 91476 and 91490 is 14.

GCF(91476,91490) = 14

We will now calculate the prime factors of 91476 and 91490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91476 and 91490.

How to find the GCF of 91476 and 91490?

We will first find the prime factorization of 91476 and 91490. After we will calculate the factors of 91476 and 91490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91490

Prime factors of 91490 are 2, 5, 7, 1307. Prime factorization of 91490 in exponential form is:

91490 = 2¹ × 5¹ × 7¹ × 1307¹

Step-3: Factors of 91476

List of positive integer factors of 91476 that divides 91476 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

Step-4: Factors of 91490

List of positive integer factors of 91490 that divides 91476 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1307, 2614, 6535, 9149, 13070, 18298, 45745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91476 and 91490. The biggest common factor number is the GCF number.
So the greatest common factor 91476 and 91490 is 14.

Also check out the Least Common Multiple of 91476 and 91490