What is the Greatest Common Factor of 37515 and 37535?

Greatest common factor (GCF) of 37515 and 37535 is 5.

GCF(37515,37535) = 5

We will now calculate the prime factors of 37515 and 37535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37515 and 37535.

How to find the GCF of 37515 and 37535?

We will first find the prime factorization of 37515 and 37535. After we will calculate the factors of 37515 and 37535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37535

Prime factors of 37535 are 5, 7507. Prime factorization of 37535 in exponential form is:

37535 = 5¹ × 7507¹

Step-3: Factors of 37515

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

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

Step-4: Factors of 37535

List of positive integer factors of 37535 that divides 37515 without a remainder.

1, 5, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37515 and 37535. The biggest common factor number is the GCF number.
So the greatest common factor 37515 and 37535 is 5.

Also check out the Least Common Multiple of 37515 and 37535