What is the Greatest Common Factor of 91860 and 91875?

Greatest common factor (GCF) of 91860 and 91875 is 15.

GCF(91860,91875) = 15

We will now calculate the prime factors of 91860 and 91875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91860 and 91875.

How to find the GCF of 91860 and 91875?

We will first find the prime factorization of 91860 and 91875. After we will calculate the factors of 91860 and 91875 and find the biggest common factor number .

Step-1: Prime Factorization of 91860

Prime factors of 91860 are 2, 3, 5, 1531. Prime factorization of 91860 in exponential form is:

91860 = 2² × 3¹ × 5¹ × 1531¹

Step-2: Prime Factorization of 91875

Prime factors of 91875 are 3, 5, 7. Prime factorization of 91875 in exponential form is:

91875 = 3¹ × 5⁴ × 7²

Step-3: Factors of 91860

List of positive integer factors of 91860 that divides 91860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1531, 3062, 4593, 6124, 7655, 9186, 15310, 18372, 22965, 30620, 45930

Step-4: Factors of 91875

List of positive integer factors of 91875 that divides 91860 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 125, 147, 175, 245, 375, 525, 625, 735, 875, 1225, 1875, 2625, 3675, 4375, 6125, 13125, 18375, 30625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91860 and 91875. The biggest common factor number is the GCF number.
So the greatest common factor 91860 and 91875 is 15.

Also check out the Least Common Multiple of 91860 and 91875