What is the Greatest Common Factor of 18672 and 18684?

Greatest common factor (GCF) of 18672 and 18684 is 12.

GCF(18672,18684) = 12

We will now calculate the prime factors of 18672 and 18684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18672 and 18684.

How to find the GCF of 18672 and 18684?

We will first find the prime factorization of 18672 and 18684. After we will calculate the factors of 18672 and 18684 and find the biggest common factor number .

Step-1: Prime Factorization of 18672

Prime factors of 18672 are 2, 3, 389. Prime factorization of 18672 in exponential form is:

18672 = 2⁴ × 3¹ × 389¹

Step-2: Prime Factorization of 18684

Prime factors of 18684 are 2, 3, 173. Prime factorization of 18684 in exponential form is:

18684 = 2² × 3³ × 173¹

Step-3: Factors of 18672

List of positive integer factors of 18672 that divides 18672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 389, 778, 1167, 1556, 2334, 3112, 4668, 6224, 9336

Step-4: Factors of 18684

List of positive integer factors of 18684 that divides 18672 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 4671, 6228, 9342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18672 and 18684. The biggest common factor number is the GCF number.
So the greatest common factor 18672 and 18684 is 12.

Also check out the Least Common Multiple of 18672 and 18684