What is the Greatest Common Factor of 37470 and 37475?

Greatest common factor (GCF) of 37470 and 37475 is 5.

GCF(37470,37475) = 5

We will now calculate the prime factors of 37470 and 37475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37470 and 37475.

How to find the GCF of 37470 and 37475?

We will first find the prime factorization of 37470 and 37475. After we will calculate the factors of 37470 and 37475 and find the biggest common factor number .

Step-1: Prime Factorization of 37470

Prime factors of 37470 are 2, 3, 5, 1249. Prime factorization of 37470 in exponential form is:

37470 = 2¹ × 3¹ × 5¹ × 1249¹

Step-2: Prime Factorization of 37475

Prime factors of 37475 are 5, 1499. Prime factorization of 37475 in exponential form is:

37475 = 5² × 1499¹

Step-3: Factors of 37470

List of positive integer factors of 37470 that divides 37470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1249, 2498, 3747, 6245, 7494, 12490, 18735

Step-4: Factors of 37475

List of positive integer factors of 37475 that divides 37470 without a remainder.

1, 5, 25, 1499, 7495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37470 and 37475. The biggest common factor number is the GCF number.
So the greatest common factor 37470 and 37475 is 5.

Also check out the Least Common Multiple of 37470 and 37475