What is the Greatest Common Factor of 38646 and 38664?

Greatest common factor (GCF) of 38646 and 38664 is 18.

GCF(38646,38664) = 18

We will now calculate the prime factors of 38646 and 38664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38646 and 38664.

How to find the GCF of 38646 and 38664?

We will first find the prime factorization of 38646 and 38664. After we will calculate the factors of 38646 and 38664 and find the biggest common factor number .

Step-1: Prime Factorization of 38646

Prime factors of 38646 are 2, 3, 19, 113. Prime factorization of 38646 in exponential form is:

38646 = 2¹ × 3² × 19¹ × 113¹

Step-2: 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-3: Factors of 38646

List of positive integer factors of 38646 that divides 38646 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 113, 114, 171, 226, 339, 342, 678, 1017, 2034, 2147, 4294, 6441, 12882, 19323

Step-4: Factors of 38664

List of positive integer factors of 38664 that divides 38646 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38646 and 38664. The biggest common factor number is the GCF number.
So the greatest common factor 38646 and 38664 is 18.

Also check out the Least Common Multiple of 38646 and 38664