What is the Greatest Common Factor of 37470 and 37480?

Greatest common factor (GCF) of 37470 and 37480 is 10.

GCF(37470,37480) = 10

We will now calculate the prime factors of 37470 and 37480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37470 and 37480.

How to find the GCF of 37470 and 37480?

We will first find the prime factorization of 37470 and 37480. After we will calculate the factors of 37470 and 37480 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 37480

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

37480 = 2³ × 5¹ × 937¹

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 37480

List of positive integer factors of 37480 that divides 37470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37470 and 37480. The biggest common factor number is the GCF number.
So the greatest common factor 37470 and 37480 is 10.

Also check out the Least Common Multiple of 37470 and 37480