What is the Greatest Common Factor of 89496 and 89504?

Greatest common factor (GCF) of 89496 and 89504 is 8.

GCF(89496,89504) = 8

We will now calculate the prime factors of 89496 and 89504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89496 and 89504.

How to find the GCF of 89496 and 89504?

We will first find the prime factorization of 89496 and 89504. After we will calculate the factors of 89496 and 89504 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 89504

Prime factors of 89504 are 2, 2797. Prime factorization of 89504 in exponential form is:

89504 = 2⁵ × 2797¹

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 89504

List of positive integer factors of 89504 that divides 89496 without a remainder.

1, 2, 4, 8, 16, 32, 2797, 5594, 11188, 22376, 44752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89496 and 89504. The biggest common factor number is the GCF number.
So the greatest common factor 89496 and 89504 is 8.

Also check out the Least Common Multiple of 89496 and 89504