What is the Greatest Common Factor of 37700 and 37720?

Greatest common factor (GCF) of 37700 and 37720 is 20.

GCF(37700,37720) = 20

We will now calculate the prime factors of 37700 and 37720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37700 and 37720.

How to find the GCF of 37700 and 37720?

We will first find the prime factorization of 37700 and 37720. After we will calculate the factors of 37700 and 37720 and find the biggest common factor number .

Step-1: Prime Factorization of 37700

Prime factors of 37700 are 2, 5, 13, 29. Prime factorization of 37700 in exponential form is:

37700 = 2² × 5² × 13¹ × 29¹

Step-2: Prime Factorization of 37720

Prime factors of 37720 are 2, 5, 23, 41. Prime factorization of 37720 in exponential form is:

37720 = 2³ × 5¹ × 23¹ × 41¹

Step-3: Factors of 37700

List of positive integer factors of 37700 that divides 37700 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 29, 50, 52, 58, 65, 100, 116, 130, 145, 260, 290, 325, 377, 580, 650, 725, 754, 1300, 1450, 1508, 1885, 2900, 3770, 7540, 9425, 18850

Step-4: Factors of 37720

List of positive integer factors of 37720 that divides 37700 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 41, 46, 82, 92, 115, 164, 184, 205, 230, 328, 410, 460, 820, 920, 943, 1640, 1886, 3772, 4715, 7544, 9430, 18860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37700 and 37720. The biggest common factor number is the GCF number.
So the greatest common factor 37700 and 37720 is 20.

Also check out the Least Common Multiple of 37700 and 37720