What is the Greatest Common Factor of 88491 and 88504?

Greatest common factor (GCF) of 88491 and 88504 is 13.

GCF(88491,88504) = 13

We will now calculate the prime factors of 88491 and 88504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88491 and 88504.

How to find the GCF of 88491 and 88504?

We will first find the prime factorization of 88491 and 88504. After we will calculate the factors of 88491 and 88504 and find the biggest common factor number .

Step-1: Prime Factorization of 88491

Prime factors of 88491 are 3, 13, 2269. Prime factorization of 88491 in exponential form is:

88491 = 3¹ × 13¹ × 2269¹

Step-2: Prime Factorization of 88504

Prime factors of 88504 are 2, 13, 23, 37. Prime factorization of 88504 in exponential form is:

88504 = 2³ × 13¹ × 23¹ × 37¹

Step-3: Factors of 88491

List of positive integer factors of 88491 that divides 88491 without a remainder.

1, 3, 13, 39, 2269, 6807, 29497

Step-4: Factors of 88504

List of positive integer factors of 88504 that divides 88491 without a remainder.

1, 2, 4, 8, 13, 23, 26, 37, 46, 52, 74, 92, 104, 148, 184, 296, 299, 481, 598, 851, 962, 1196, 1702, 1924, 2392, 3404, 3848, 6808, 11063, 22126, 44252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88491 and 88504. The biggest common factor number is the GCF number.
So the greatest common factor 88491 and 88504 is 13.

Also check out the Least Common Multiple of 88491 and 88504