What is the Greatest Common Factor of 18624 and 18632?

Greatest common factor (GCF) of 18624 and 18632 is 8.

GCF(18624,18632) = 8

We will now calculate the prime factors of 18624 and 18632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18624 and 18632.

How to find the GCF of 18624 and 18632?

We will first find the prime factorization of 18624 and 18632. After we will calculate the factors of 18624 and 18632 and find the biggest common factor number .

Step-1: Prime Factorization of 18624

Prime factors of 18624 are 2, 3, 97. Prime factorization of 18624 in exponential form is:

18624 = 2⁶ × 3¹ × 97¹

Step-2: Prime Factorization of 18632

Prime factors of 18632 are 2, 17, 137. Prime factorization of 18632 in exponential form is:

18632 = 2³ × 17¹ × 137¹

Step-3: Factors of 18624

List of positive integer factors of 18624 that divides 18624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 192, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312

Step-4: Factors of 18632

List of positive integer factors of 18632 that divides 18624 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 137, 274, 548, 1096, 2329, 4658, 9316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18624 and 18632. The biggest common factor number is the GCF number.
So the greatest common factor 18624 and 18632 is 8.

Also check out the Least Common Multiple of 18624 and 18632