What is the Greatest Common Factor of 18624 and 18630?

Greatest common factor (GCF) of 18624 and 18630 is 6.

GCF(18624,18630) = 6

We will now calculate the prime factors of 18624 and 18630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18624 and 18630.

How to find the GCF of 18624 and 18630?

We will first find the prime factorization of 18624 and 18630. After we will calculate the factors of 18624 and 18630 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 18630

Prime factors of 18630 are 2, 3, 5, 23. Prime factorization of 18630 in exponential form is:

18630 = 2¹ × 3⁴ × 5¹ × 23¹

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 18630

List of positive integer factors of 18630 that divides 18624 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 81, 90, 115, 135, 138, 162, 207, 230, 270, 345, 405, 414, 621, 690, 810, 1035, 1242, 1863, 2070, 3105, 3726, 6210, 9315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18624 and 18630. The biggest common factor number is the GCF number.
So the greatest common factor 18624 and 18630 is 6.

Also check out the Least Common Multiple of 18624 and 18630