What is the Greatest Common Factor of 38664 and 38678?

Greatest common factor (GCF) of 38664 and 38678 is 2.

GCF(38664,38678) = 2

We will now calculate the prime factors of 38664 and 38678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38664 and 38678.

How to find the GCF of 38664 and 38678?

We will first find the prime factorization of 38664 and 38678. After we will calculate the factors of 38664 and 38678 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 38678

Prime factors of 38678 are 2, 83, 233. Prime factorization of 38678 in exponential form is:

38678 = 2¹ × 83¹ × 233¹

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 38678

List of positive integer factors of 38678 that divides 38664 without a remainder.

1, 2, 83, 166, 233, 466, 19339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38664 and 38678. The biggest common factor number is the GCF number.
So the greatest common factor 38664 and 38678 is 2.

Also check out the Least Common Multiple of 38664 and 38678