What is the Greatest Common Factor of 18664 and 18672?

Greatest common factor (GCF) of 18664 and 18672 is 8.

GCF(18664,18672) = 8

We will now calculate the prime factors of 18664 and 18672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18664 and 18672.

How to find the GCF of 18664 and 18672?

We will first find the prime factorization of 18664 and 18672. After we will calculate the factors of 18664 and 18672 and find the biggest common factor number .

Step-1: Prime Factorization of 18664

Prime factors of 18664 are 2, 2333. Prime factorization of 18664 in exponential form is:

18664 = 2³ × 2333¹

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 18664

List of positive integer factors of 18664 that divides 18664 without a remainder.

1, 2, 4, 8, 2333, 4666, 9332

Step-4: Factors of 18672

List of positive integer factors of 18672 that divides 18664 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 18664 and 18672. The biggest common factor number is the GCF number.
So the greatest common factor 18664 and 18672 is 8.

Also check out the Least Common Multiple of 18664 and 18672