What is the Greatest Common Factor of 89496 and 89508?

Greatest common factor (GCF) of 89496 and 89508 is 12.

GCF(89496,89508) = 12

We will now calculate the prime factors of 89496 and 89508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89496 and 89508.

How to find the GCF of 89496 and 89508?

We will first find the prime factorization of 89496 and 89508. After we will calculate the factors of 89496 and 89508 and find the biggest common factor number .

Step-1: Prime Factorization of 89496

Prime factors of 89496 are 2, 3, 11, 113. Prime factorization of 89496 in exponential form is:

89496 = 2³ × 3² × 11¹ × 113¹

Step-2: Prime Factorization of 89508

Prime factors of 89508 are 2, 3, 7459. Prime factorization of 89508 in exponential form is:

89508 = 2² × 3¹ × 7459¹

Step-3: Factors of 89496

List of positive integer factors of 89496 that divides 89496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 113, 132, 198, 226, 264, 339, 396, 452, 678, 792, 904, 1017, 1243, 1356, 2034, 2486, 2712, 3729, 4068, 4972, 7458, 8136, 9944, 11187, 14916, 22374, 29832, 44748

Step-4: Factors of 89508

List of positive integer factors of 89508 that divides 89496 without a remainder.

1, 2, 3, 4, 6, 12, 7459, 14918, 22377, 29836, 44754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89496 and 89508. The biggest common factor number is the GCF number.
So the greatest common factor 89496 and 89508 is 12.

Also check out the Least Common Multiple of 89496 and 89508