What is the Greatest Common Factor of 38106 and 38124?

Greatest common factor (GCF) of 38106 and 38124 is 18.

GCF(38106,38124) = 18

We will now calculate the prime factors of 38106 and 38124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38106 and 38124.

How to find the GCF of 38106 and 38124?

We will first find the prime factorization of 38106 and 38124. After we will calculate the factors of 38106 and 38124 and find the biggest common factor number .

Step-1: Prime Factorization of 38106

Prime factors of 38106 are 2, 3, 29, 73. Prime factorization of 38106 in exponential form is:

38106 = 2¹ × 3² × 29¹ × 73¹

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 38106

List of positive integer factors of 38106 that divides 38106 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 73, 87, 146, 174, 219, 261, 438, 522, 657, 1314, 2117, 4234, 6351, 12702, 19053

Step-4: Factors of 38124

List of positive integer factors of 38124 that divides 38106 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 38106 and 38124. The biggest common factor number is the GCF number.
So the greatest common factor 38106 and 38124 is 18.

Also check out the Least Common Multiple of 38106 and 38124