What is the Greatest Common Factor of 37482 and 37497?

Greatest common factor (GCF) of 37482 and 37497 is 3.

GCF(37482,37497) = 3

We will now calculate the prime factors of 37482 and 37497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37482 and 37497.

How to find the GCF of 37482 and 37497?

We will first find the prime factorization of 37482 and 37497. After we will calculate the factors of 37482 and 37497 and find the biggest common factor number .

Step-1: Prime Factorization of 37482

Prime factors of 37482 are 2, 3, 6247. Prime factorization of 37482 in exponential form is:

37482 = 2¹ × 3¹ × 6247¹

Step-2: Prime Factorization of 37497

Prime factors of 37497 are 3, 29, 431. Prime factorization of 37497 in exponential form is:

37497 = 3¹ × 29¹ × 431¹

Step-3: Factors of 37482

List of positive integer factors of 37482 that divides 37482 without a remainder.

1, 2, 3, 6, 6247, 12494, 18741

Step-4: Factors of 37497

List of positive integer factors of 37497 that divides 37482 without a remainder.

1, 3, 29, 87, 431, 1293, 12499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37482 and 37497. The biggest common factor number is the GCF number.
So the greatest common factor 37482 and 37497 is 3.

Also check out the Least Common Multiple of 37482 and 37497