What is the Greatest Common Factor of 38112 and 38124?

Greatest common factor (GCF) of 38112 and 38124 is 12.

GCF(38112,38124) = 12

We will now calculate the prime factors of 38112 and 38124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38112 and 38124.

How to find the GCF of 38112 and 38124?

We will first find the prime factorization of 38112 and 38124. After we will calculate the factors of 38112 and 38124 and find the biggest common factor number .

Step-1: Prime Factorization of 38112

Prime factors of 38112 are 2, 3, 397. Prime factorization of 38112 in exponential form is:

38112 = 2⁵ × 3¹ × 397¹

Step-2: Prime Factorization of 38124

Prime factors of 38124 are 2, 3, 353. Prime factorization of 38124 in exponential form is:

38124 = 2² × 3³ × 353¹

Step-3: Factors of 38112

List of positive integer factors of 38112 that divides 38112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528, 12704, 19056

Step-4: Factors of 38124

List of positive integer factors of 38124 that divides 38112 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 353, 706, 1059, 1412, 2118, 3177, 4236, 6354, 9531, 12708, 19062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38112 and 38124. The biggest common factor number is the GCF number.
So the greatest common factor 38112 and 38124 is 12.

Also check out the Least Common Multiple of 38112 and 38124