What is the Greatest Common Factor of 91260 and 91270?

Greatest common factor (GCF) of 91260 and 91270 is 10.

GCF(91260,91270) = 10

We will now calculate the prime factors of 91260 and 91270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91260 and 91270.

How to find the GCF of 91260 and 91270?

We will first find the prime factorization of 91260 and 91270. After we will calculate the factors of 91260 and 91270 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 91270

Prime factors of 91270 are 2, 5, 9127. Prime factorization of 91270 in exponential form is:

91270 = 2¹ × 5¹ × 9127¹

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 91270

List of positive integer factors of 91270 that divides 91260 without a remainder.

1, 2, 5, 10, 9127, 18254, 45635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91260 and 91270. The biggest common factor number is the GCF number.
So the greatest common factor 91260 and 91270 is 10.

Also check out the Least Common Multiple of 91260 and 91270