What is the Greatest Common Factor of 91845 and 91860?

Greatest common factor (GCF) of 91845 and 91860 is 15.

GCF(91845,91860) = 15

We will now calculate the prime factors of 91845 and 91860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91845 and 91860.

How to find the GCF of 91845 and 91860?

We will first find the prime factorization of 91845 and 91860. After we will calculate the factors of 91845 and 91860 and find the biggest common factor number .

Step-1: Prime Factorization of 91845

Prime factors of 91845 are 3, 5, 13, 157. Prime factorization of 91845 in exponential form is:

91845 = 3² × 5¹ × 13¹ × 157¹

Step-2: 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-3: Factors of 91845

List of positive integer factors of 91845 that divides 91845 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 157, 195, 471, 585, 785, 1413, 2041, 2355, 6123, 7065, 10205, 18369, 30615

Step-4: Factors of 91860

List of positive integer factors of 91860 that divides 91845 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91845 and 91860. The biggest common factor number is the GCF number.
So the greatest common factor 91845 and 91860 is 15.

Also check out the Least Common Multiple of 91845 and 91860