What is the Greatest Common Factor of 18624 and 18639?

Greatest common factor (GCF) of 18624 and 18639 is 3.

GCF(18624,18639) = 3

We will now calculate the prime factors of 18624 and 18639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18624 and 18639.

How to find the GCF of 18624 and 18639?

We will first find the prime factorization of 18624 and 18639. After we will calculate the factors of 18624 and 18639 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 18639

Prime factors of 18639 are 3, 19, 109. Prime factorization of 18639 in exponential form is:

18639 = 3² × 19¹ × 109¹

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 18639

List of positive integer factors of 18639 that divides 18624 without a remainder.

1, 3, 9, 19, 57, 109, 171, 327, 981, 2071, 6213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18624 and 18639. The biggest common factor number is the GCF number.
So the greatest common factor 18624 and 18639 is 3.

Also check out the Least Common Multiple of 18624 and 18639