What is the Greatest Common Factor of 38109 and 38124?

Greatest common factor (GCF) of 38109 and 38124 is 3.

GCF(38109,38124) = 3

We will now calculate the prime factors of 38109 and 38124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38109 and 38124.

How to find the GCF of 38109 and 38124?

We will first find the prime factorization of 38109 and 38124. After we will calculate the factors of 38109 and 38124 and find the biggest common factor number .

Step-1: Prime Factorization of 38109

Prime factors of 38109 are 3, 12703. Prime factorization of 38109 in exponential form is:

38109 = 3¹ × 12703¹

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 38109

List of positive integer factors of 38109 that divides 38109 without a remainder.

1, 3, 12703

Step-4: Factors of 38124

List of positive integer factors of 38124 that divides 38109 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 38109 and 38124. The biggest common factor number is the GCF number.
So the greatest common factor 38109 and 38124 is 3.

Also check out the Least Common Multiple of 38109 and 38124