What is the Greatest Common Factor of 38120 and 38140?

Greatest common factor (GCF) of 38120 and 38140 is 20.

GCF(38120,38140) = 20

We will now calculate the prime factors of 38120 and 38140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38120 and 38140.

How to find the GCF of 38120 and 38140?

We will first find the prime factorization of 38120 and 38140. After we will calculate the factors of 38120 and 38140 and find the biggest common factor number .

Step-1: Prime Factorization of 38120

Prime factors of 38120 are 2, 5, 953. Prime factorization of 38120 in exponential form is:

38120 = 2³ × 5¹ × 953¹

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 38120

List of positive integer factors of 38120 that divides 38120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 953, 1906, 3812, 4765, 7624, 9530, 19060

Step-4: Factors of 38140

List of positive integer factors of 38140 that divides 38120 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 38120 and 38140. The biggest common factor number is the GCF number.
So the greatest common factor 38120 and 38140 is 20.

Also check out the Least Common Multiple of 38120 and 38140