What is the Greatest Common Factor of 89628 and 89632?

Greatest common factor (GCF) of 89628 and 89632 is 4.

GCF(89628,89632) = 4

We will now calculate the prime factors of 89628 and 89632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89628 and 89632.

How to find the GCF of 89628 and 89632?

We will first find the prime factorization of 89628 and 89632. After we will calculate the factors of 89628 and 89632 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 89632

Prime factors of 89632 are 2, 2801. Prime factorization of 89632 in exponential form is:

89632 = 2⁵ × 2801¹

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 89632

List of positive integer factors of 89632 that divides 89628 without a remainder.

1, 2, 4, 8, 16, 32, 2801, 5602, 11204, 22408, 44816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89628 and 89632. The biggest common factor number is the GCF number.
So the greatest common factor 89628 and 89632 is 4.

Also check out the Least Common Multiple of 89628 and 89632