What is the Greatest Common Factor of 37500 and 37511?

Greatest common factor (GCF) of 37500 and 37511 is 1.

GCF(37500,37511) = 1

We will now calculate the prime factors of 37500 and 37511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37500 and 37511.

How to find the GCF of 37500 and 37511?

We will first find the prime factorization of 37500 and 37511. After we will calculate the factors of 37500 and 37511 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37511

Prime factors of 37511 are 37511. Prime factorization of 37511 in exponential form is:

37511 = 37511¹

Step-3: Factors of 37500

List of positive integer factors of 37500 that divides 37500 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

Step-4: Factors of 37511

List of positive integer factors of 37511 that divides 37500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37500 and 37511. The biggest common factor number is the GCF number.
So the greatest common factor 37500 and 37511 is 1.

Also check out the Least Common Multiple of 37500 and 37511