What is the Greatest Common Factor of 37710 and 37720?

Greatest common factor (GCF) of 37710 and 37720 is 10.

GCF(37710,37720) = 10

We will now calculate the prime factors of 37710 and 37720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37710 and 37720.

How to find the GCF of 37710 and 37720?

We will first find the prime factorization of 37710 and 37720. After we will calculate the factors of 37710 and 37720 and find the biggest common factor number .

Step-1: Prime Factorization of 37710

Prime factors of 37710 are 2, 3, 5, 419. Prime factorization of 37710 in exponential form is:

37710 = 2¹ × 3² × 5¹ × 419¹

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 37710

List of positive integer factors of 37710 that divides 37710 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 419, 838, 1257, 2095, 2514, 3771, 4190, 6285, 7542, 12570, 18855

Step-4: Factors of 37720

List of positive integer factors of 37720 that divides 37710 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 37710 and 37720. The biggest common factor number is the GCF number.
So the greatest common factor 37710 and 37720 is 10.

Also check out the Least Common Multiple of 37710 and 37720