What is the Greatest Common Factor of 89496 and 89507?

Greatest common factor (GCF) of 89496 and 89507 is 11.

GCF(89496,89507) = 11

We will now calculate the prime factors of 89496 and 89507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89496 and 89507.

How to find the GCF of 89496 and 89507?

We will first find the prime factorization of 89496 and 89507. After we will calculate the factors of 89496 and 89507 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 89507

Prime factors of 89507 are 11, 79, 103. Prime factorization of 89507 in exponential form is:

89507 = 11¹ × 79¹ × 103¹

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 89507

List of positive integer factors of 89507 that divides 89496 without a remainder.

1, 11, 79, 103, 869, 1133, 8137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89496 and 89507. The biggest common factor number is the GCF number.
So the greatest common factor 89496 and 89507 is 11.

Also check out the Least Common Multiple of 89496 and 89507