What is the Greatest Common Factor of 18654 and 18672?

Greatest common factor (GCF) of 18654 and 18672 is 6.

GCF(18654,18672) = 6

We will now calculate the prime factors of 18654 and 18672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18654 and 18672.

How to find the GCF of 18654 and 18672?

We will first find the prime factorization of 18654 and 18672. After we will calculate the factors of 18654 and 18672 and find the biggest common factor number .

Step-1: Prime Factorization of 18654

Prime factors of 18654 are 2, 3, 3109. Prime factorization of 18654 in exponential form is:

18654 = 2¹ × 3¹ × 3109¹

Step-2: 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-3: Factors of 18654

List of positive integer factors of 18654 that divides 18654 without a remainder.

1, 2, 3, 6, 3109, 6218, 9327

Step-4: Factors of 18672

List of positive integer factors of 18672 that divides 18654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18654 and 18672. The biggest common factor number is the GCF number.
So the greatest common factor 18654 and 18672 is 6.

Also check out the Least Common Multiple of 18654 and 18672