What is the Greatest Common Factor of 38664 and 38679?

Greatest common factor (GCF) of 38664 and 38679 is 3.

GCF(38664,38679) = 3

We will now calculate the prime factors of 38664 and 38679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38664 and 38679.

How to find the GCF of 38664 and 38679?

We will first find the prime factorization of 38664 and 38679. After we will calculate the factors of 38664 and 38679 and find the biggest common factor number .

Step-1: Prime Factorization of 38664

Prime factors of 38664 are 2, 3, 179. Prime factorization of 38664 in exponential form is:

38664 = 2³ × 3³ × 179¹

Step-2: Prime Factorization of 38679

Prime factors of 38679 are 3, 12893. Prime factorization of 38679 in exponential form is:

38679 = 3¹ × 12893¹

Step-3: Factors of 38664

List of positive integer factors of 38664 that divides 38664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 179, 216, 358, 537, 716, 1074, 1432, 1611, 2148, 3222, 4296, 4833, 6444, 9666, 12888, 19332

Step-4: Factors of 38679

List of positive integer factors of 38679 that divides 38664 without a remainder.

1, 3, 12893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38664 and 38679. The biggest common factor number is the GCF number.
So the greatest common factor 38664 and 38679 is 3.

Also check out the Least Common Multiple of 38664 and 38679