What is the Greatest Common Factor of 37120 and 37130?

Greatest common factor (GCF) of 37120 and 37130 is 10.

GCF(37120,37130) = 10

We will now calculate the prime factors of 37120 and 37130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37120 and 37130.

How to find the GCF of 37120 and 37130?

We will first find the prime factorization of 37120 and 37130. After we will calculate the factors of 37120 and 37130 and find the biggest common factor number .

Step-1: Prime Factorization of 37120

Prime factors of 37120 are 2, 5, 29. Prime factorization of 37120 in exponential form is:

37120 = 2⁸ × 5¹ × 29¹

Step-2: Prime Factorization of 37130

Prime factors of 37130 are 2, 5, 47, 79. Prime factorization of 37130 in exponential form is:

37130 = 2¹ × 5¹ × 47¹ × 79¹

Step-3: Factors of 37120

List of positive integer factors of 37120 that divides 37120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 256, 290, 320, 464, 580, 640, 928, 1160, 1280, 1856, 2320, 3712, 4640, 7424, 9280, 18560

Step-4: Factors of 37130

List of positive integer factors of 37130 that divides 37120 without a remainder.

1, 2, 5, 10, 47, 79, 94, 158, 235, 395, 470, 790, 3713, 7426, 18565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37120 and 37130. The biggest common factor number is the GCF number.
So the greatest common factor 37120 and 37130 is 10.

Also check out the Least Common Multiple of 37120 and 37130