What is the Greatest Common Factor of 91260 and 91275?

Greatest common factor (GCF) of 91260 and 91275 is 15.

GCF(91260,91275) = 15

We will now calculate the prime factors of 91260 and 91275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91260 and 91275.

How to find the GCF of 91260 and 91275?

We will first find the prime factorization of 91260 and 91275. After we will calculate the factors of 91260 and 91275 and find the biggest common factor number .

Step-1: Prime Factorization of 91260

Prime factors of 91260 are 2, 3, 5, 13. Prime factorization of 91260 in exponential form is:

91260 = 2² × 3³ × 5¹ × 13²

Step-2: Prime Factorization of 91275

Prime factors of 91275 are 3, 5, 1217. Prime factorization of 91275 in exponential form is:

91275 = 3¹ × 5² × 1217¹

Step-3: Factors of 91260

List of positive integer factors of 91260 that divides 91260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 169, 180, 195, 234, 260, 270, 338, 351, 390, 468, 507, 540, 585, 676, 702, 780, 845, 1014, 1170, 1404, 1521, 1690, 1755, 2028, 2340, 2535, 3042, 3380, 3510, 4563, 5070, 6084, 7020, 7605, 9126, 10140, 15210, 18252, 22815, 30420, 45630

Step-4: Factors of 91275

List of positive integer factors of 91275 that divides 91260 without a remainder.

1, 3, 5, 15, 25, 75, 1217, 3651, 6085, 18255, 30425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91260 and 91275. The biggest common factor number is the GCF number.
So the greatest common factor 91260 and 91275 is 15.

Also check out the Least Common Multiple of 91260 and 91275