What is the Greatest Common Factor of 89617 and 89628?

Greatest common factor (GCF) of 89617 and 89628 is 11.

GCF(89617,89628) = 11

We will now calculate the prime factors of 89617 and 89628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89617 and 89628.

How to find the GCF of 89617 and 89628?

We will first find the prime factorization of 89617 and 89628. After we will calculate the factors of 89617 and 89628 and find the biggest common factor number .

Step-1: Prime Factorization of 89617

Prime factors of 89617 are 11, 8147. Prime factorization of 89617 in exponential form is:

89617 = 11¹ × 8147¹

Step-2: 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-3: Factors of 89617

List of positive integer factors of 89617 that divides 89617 without a remainder.

1, 11, 8147

Step-4: Factors of 89628

List of positive integer factors of 89628 that divides 89617 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89617 and 89628. The biggest common factor number is the GCF number.
So the greatest common factor 89617 and 89628 is 11.

Also check out the Least Common Multiple of 89617 and 89628