What is the Greatest Common Factor of 38664 and 38671?

Greatest common factor (GCF) of 38664 and 38671 is 1.

GCF(38664,38671) = 1

We will now calculate the prime factors of 38664 and 38671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38664 and 38671.

How to find the GCF of 38664 and 38671?

We will first find the prime factorization of 38664 and 38671. After we will calculate the factors of 38664 and 38671 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 38671

Prime factors of 38671 are 38671. Prime factorization of 38671 in exponential form is:

38671 = 38671¹

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 38671

List of positive integer factors of 38671 that divides 38664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38664 and 38671. The biggest common factor number is the GCF number.
So the greatest common factor 38664 and 38671 is 1.

Also check out the Least Common Multiple of 38664 and 38671