What is the Greatest Common Factor of 37581 and 37599?

Greatest common factor (GCF) of 37581 and 37599 is 3.

GCF(37581,37599) = 3

We will now calculate the prime factors of 37581 and 37599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37581 and 37599.

How to find the GCF of 37581 and 37599?

We will first find the prime factorization of 37581 and 37599. After we will calculate the factors of 37581 and 37599 and find the biggest common factor number .

Step-1: Prime Factorization of 37581

Prime factors of 37581 are 3, 12527. Prime factorization of 37581 in exponential form is:

37581 = 3¹ × 12527¹

Step-2: Prime Factorization of 37599

Prime factors of 37599 are 3, 83, 151. Prime factorization of 37599 in exponential form is:

37599 = 3¹ × 83¹ × 151¹

Step-3: Factors of 37581

List of positive integer factors of 37581 that divides 37581 without a remainder.

1, 3, 12527

Step-4: Factors of 37599

List of positive integer factors of 37599 that divides 37581 without a remainder.

1, 3, 83, 151, 249, 453, 12533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37581 and 37599. The biggest common factor number is the GCF number.
So the greatest common factor 37581 and 37599 is 3.

Also check out the Least Common Multiple of 37581 and 37599