What is the Greatest Common Factor of 37491 and 37500?

Greatest common factor (GCF) of 37491 and 37500 is 3.

GCF(37491,37500) = 3

We will now calculate the prime factors of 37491 and 37500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37491 and 37500.

How to find the GCF of 37491 and 37500?

We will first find the prime factorization of 37491 and 37500. After we will calculate the factors of 37491 and 37500 and find the biggest common factor number .

Step-1: Prime Factorization of 37491

Prime factors of 37491 are 3, 12497. Prime factorization of 37491 in exponential form is:

37491 = 3¹ × 12497¹

Step-2: Prime Factorization of 37500

Prime factors of 37500 are 2, 3, 5. Prime factorization of 37500 in exponential form is:

37500 = 2² × 3¹ × 5⁵

Step-3: Factors of 37491

List of positive integer factors of 37491 that divides 37491 without a remainder.

1, 3, 12497

Step-4: Factors of 37500

List of positive integer factors of 37500 that divides 37491 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3125, 3750, 6250, 7500, 9375, 12500, 18750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37491 and 37500. The biggest common factor number is the GCF number.
So the greatest common factor 37491 and 37500 is 3.

Also check out the Least Common Multiple of 37491 and 37500