What is the Greatest Common Factor of 89628 and 89639?

Greatest common factor (GCF) of 89628 and 89639 is 11.

GCF(89628,89639) = 11

We will now calculate the prime factors of 89628 and 89639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89628 and 89639.

How to find the GCF of 89628 and 89639?

We will first find the prime factorization of 89628 and 89639. After we will calculate the factors of 89628 and 89639 and find the biggest common factor number .

Step-1: Prime Factorization of 89628

Prime factors of 89628 are 2, 3, 7, 11, 97. Prime factorization of 89628 in exponential form is:

89628 = 2² × 3¹ × 7¹ × 11¹ × 97¹

Step-2: Prime Factorization of 89639

Prime factors of 89639 are 11, 29, 281. Prime factorization of 89639 in exponential form is:

89639 = 11¹ × 29¹ × 281¹

Step-3: Factors of 89628

List of positive integer factors of 89628 that divides 89628 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 97, 132, 154, 194, 231, 291, 308, 388, 462, 582, 679, 924, 1067, 1164, 1358, 2037, 2134, 2716, 3201, 4074, 4268, 6402, 7469, 8148, 12804, 14938, 22407, 29876, 44814

Step-4: Factors of 89639

List of positive integer factors of 89639 that divides 89628 without a remainder.

1, 11, 29, 281, 319, 3091, 8149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89628 and 89639. The biggest common factor number is the GCF number.
So the greatest common factor 89628 and 89639 is 11.

Also check out the Least Common Multiple of 89628 and 89639