What is the Greatest Common Factor of 37508 and 37515?

Greatest common factor (GCF) of 37508 and 37515 is 1.

GCF(37508,37515) = 1

We will now calculate the prime factors of 37508 and 37515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37508 and 37515.

How to find the GCF of 37508 and 37515?

We will first find the prime factorization of 37508 and 37515. After we will calculate the factors of 37508 and 37515 and find the biggest common factor number .

Step-1: Prime Factorization of 37508

Prime factors of 37508 are 2, 9377. Prime factorization of 37508 in exponential form is:

37508 = 2² × 9377¹

Step-2: Prime Factorization of 37515

Prime factors of 37515 are 3, 5, 41, 61. Prime factorization of 37515 in exponential form is:

37515 = 3¹ × 5¹ × 41¹ × 61¹

Step-3: Factors of 37508

List of positive integer factors of 37508 that divides 37508 without a remainder.

1, 2, 4, 9377, 18754

Step-4: Factors of 37515

List of positive integer factors of 37515 that divides 37508 without a remainder.

1, 3, 5, 15, 41, 61, 123, 183, 205, 305, 615, 915, 2501, 7503, 12505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37508 and 37515. The biggest common factor number is the GCF number.
So the greatest common factor 37508 and 37515 is 1.

Also check out the Least Common Multiple of 37508 and 37515