What is the Greatest Common Factor of 89614 and 89628?

Greatest common factor (GCF) of 89614 and 89628 is 14.

GCF(89614,89628) = 14

We will now calculate the prime factors of 89614 and 89628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89614 and 89628.

How to find the GCF of 89614 and 89628?

We will first find the prime factorization of 89614 and 89628. After we will calculate the factors of 89614 and 89628 and find the biggest common factor number .

Step-1: Prime Factorization of 89614

Prime factors of 89614 are 2, 7, 37, 173. Prime factorization of 89614 in exponential form is:

89614 = 2¹ × 7¹ × 37¹ × 173¹

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 89614

List of positive integer factors of 89614 that divides 89614 without a remainder.

1, 2, 7, 14, 37, 74, 173, 259, 346, 518, 1211, 2422, 6401, 12802, 44807

Step-4: Factors of 89628

List of positive integer factors of 89628 that divides 89614 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 89614 and 89628. The biggest common factor number is the GCF number.
So the greatest common factor 89614 and 89628 is 14.

Also check out the Least Common Multiple of 89614 and 89628