What is the Greatest Common Factor of 37480 and 37500?

Greatest common factor (GCF) of 37480 and 37500 is 20.

GCF(37480,37500) = 20

We will now calculate the prime factors of 37480 and 37500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37480 and 37500.

How to find the GCF of 37480 and 37500?

We will first find the prime factorization of 37480 and 37500. After we will calculate the factors of 37480 and 37500 and find the biggest common factor number .

Step-1: Prime Factorization of 37480

Prime factors of 37480 are 2, 5, 937. Prime factorization of 37480 in exponential form is:

37480 = 2³ × 5¹ × 937¹

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 37480

List of positive integer factors of 37480 that divides 37480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 937, 1874, 3748, 4685, 7496, 9370, 18740

Step-4: Factors of 37500

List of positive integer factors of 37500 that divides 37480 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 37480 and 37500. The biggest common factor number is the GCF number.
So the greatest common factor 37480 and 37500 is 20.

Also check out the Least Common Multiple of 37480 and 37500