What is the Greatest Common Factor of 38124 and 38140?

Greatest common factor (GCF) of 38124 and 38140 is 4.

GCF(38124,38140) = 4

We will now calculate the prime factors of 38124 and 38140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38124 and 38140.

How to find the GCF of 38124 and 38140?

We will first find the prime factorization of 38124 and 38140. After we will calculate the factors of 38124 and 38140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38140

Prime factors of 38140 are 2, 5, 1907. Prime factorization of 38140 in exponential form is:

38140 = 2² × 5¹ × 1907¹

Step-3: Factors of 38124

List of positive integer factors of 38124 that divides 38124 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

Step-4: Factors of 38140

List of positive integer factors of 38140 that divides 38124 without a remainder.

1, 2, 4, 5, 10, 20, 1907, 3814, 7628, 9535, 19070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38124 and 38140. The biggest common factor number is the GCF number.
So the greatest common factor 38124 and 38140 is 4.

Also check out the Least Common Multiple of 38124 and 38140