What is the Greatest Common Factor of 91470 and 91476?

Greatest common factor (GCF) of 91470 and 91476 is 6.

GCF(91470,91476) = 6

We will now calculate the prime factors of 91470 and 91476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91470 and 91476.

How to find the GCF of 91470 and 91476?

We will first find the prime factorization of 91470 and 91476. After we will calculate the factors of 91470 and 91476 and find the biggest common factor number .

Step-1: Prime Factorization of 91470

Prime factors of 91470 are 2, 3, 5, 3049. Prime factorization of 91470 in exponential form is:

91470 = 2¹ × 3¹ × 5¹ × 3049¹

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 91470

List of positive integer factors of 91470 that divides 91470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3049, 6098, 9147, 15245, 18294, 30490, 45735

Step-4: Factors of 91476

List of positive integer factors of 91476 that divides 91470 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 91470 and 91476. The biggest common factor number is the GCF number.
So the greatest common factor 91470 and 91476 is 6.

Also check out the Least Common Multiple of 91470 and 91476