What is the Greatest Common Factor of 37470 and 37490?

Greatest common factor (GCF) of 37470 and 37490 is 10.

GCF(37470,37490) = 10

We will now calculate the prime factors of 37470 and 37490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37470 and 37490.

How to find the GCF of 37470 and 37490?

We will first find the prime factorization of 37470 and 37490. After we will calculate the factors of 37470 and 37490 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 37490

Prime factors of 37490 are 2, 5, 23, 163. Prime factorization of 37490 in exponential form is:

37490 = 2¹ × 5¹ × 23¹ × 163¹

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 37490

List of positive integer factors of 37490 that divides 37470 without a remainder.

1, 2, 5, 10, 23, 46, 115, 163, 230, 326, 815, 1630, 3749, 7498, 18745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37470 and 37490. The biggest common factor number is the GCF number.
So the greatest common factor 37470 and 37490 is 10.

Also check out the Least Common Multiple of 37470 and 37490