What is the Greatest Common Factor of 37560 and 37570?

Greatest common factor (GCF) of 37560 and 37570 is 10.

GCF(37560,37570) = 10

We will now calculate the prime factors of 37560 and 37570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37560 and 37570.

How to find the GCF of 37560 and 37570?

We will first find the prime factorization of 37560 and 37570. After we will calculate the factors of 37560 and 37570 and find the biggest common factor number .

Step-1: Prime Factorization of 37560

Prime factors of 37560 are 2, 3, 5, 313. Prime factorization of 37560 in exponential form is:

37560 = 2³ × 3¹ × 5¹ × 313¹

Step-2: Prime Factorization of 37570

Prime factors of 37570 are 2, 5, 13, 17. Prime factorization of 37570 in exponential form is:

37570 = 2¹ × 5¹ × 13¹ × 17²

Step-3: Factors of 37560

List of positive integer factors of 37560 that divides 37560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 313, 626, 939, 1252, 1565, 1878, 2504, 3130, 3756, 4695, 6260, 7512, 9390, 12520, 18780

Step-4: Factors of 37570

List of positive integer factors of 37570 that divides 37560 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 289, 442, 578, 1105, 1445, 2210, 2890, 3757, 7514, 18785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37560 and 37570. The biggest common factor number is the GCF number.
So the greatest common factor 37560 and 37570 is 10.

Also check out the Least Common Multiple of 37560 and 37570