What is the Greatest Common Factor of 91572 and 91585?

Greatest common factor (GCF) of 91572 and 91585 is 13.

GCF(91572,91585) = 13

We will now calculate the prime factors of 91572 and 91585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91572 and 91585.

How to find the GCF of 91572 and 91585?

We will first find the prime factorization of 91572 and 91585. After we will calculate the factors of 91572 and 91585 and find the biggest common factor number .

Step-1: Prime Factorization of 91572

Prime factors of 91572 are 2, 3, 13, 587. Prime factorization of 91572 in exponential form is:

91572 = 2² × 3¹ × 13¹ × 587¹

Step-2: Prime Factorization of 91585

Prime factors of 91585 are 5, 13, 1409. Prime factorization of 91585 in exponential form is:

91585 = 5¹ × 13¹ × 1409¹

Step-3: Factors of 91572

List of positive integer factors of 91572 that divides 91572 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 587, 1174, 1761, 2348, 3522, 7044, 7631, 15262, 22893, 30524, 45786

Step-4: Factors of 91585

List of positive integer factors of 91585 that divides 91572 without a remainder.

1, 5, 13, 65, 1409, 7045, 18317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91572 and 91585. The biggest common factor number is the GCF number.
So the greatest common factor 91572 and 91585 is 13.

Also check out the Least Common Multiple of 91572 and 91585