What is the Greatest Common Factor of 91250 and 91260?

Greatest common factor (GCF) of 91250 and 91260 is 10.

GCF(91250,91260) = 10

We will now calculate the prime factors of 91250 and 91260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91250 and 91260.

How to find the GCF of 91250 and 91260?

We will first find the prime factorization of 91250 and 91260. After we will calculate the factors of 91250 and 91260 and find the biggest common factor number .

Step-1: Prime Factorization of 91250

Prime factors of 91250 are 2, 5, 73. Prime factorization of 91250 in exponential form is:

91250 = 2¹ × 5⁴ × 73¹

Step-2: 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-3: Factors of 91250

List of positive integer factors of 91250 that divides 91250 without a remainder.

1, 2, 5, 10, 25, 50, 73, 125, 146, 250, 365, 625, 730, 1250, 1825, 3650, 9125, 18250, 45625

Step-4: Factors of 91260

List of positive integer factors of 91260 that divides 91250 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91250 and 91260. The biggest common factor number is the GCF number.
So the greatest common factor 91250 and 91260 is 10.

Also check out the Least Common Multiple of 91250 and 91260