What is the Greatest Common Factor of 37503 and 37509?

Greatest common factor (GCF) of 37503 and 37509 is 3.

GCF(37503,37509) = 3

We will now calculate the prime factors of 37503 and 37509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37503 and 37509.

How to find the GCF of 37503 and 37509?

We will first find the prime factorization of 37503 and 37509. After we will calculate the factors of 37503 and 37509 and find the biggest common factor number .

Step-1: Prime Factorization of 37503

Prime factors of 37503 are 3, 463. Prime factorization of 37503 in exponential form is:

37503 = 3⁴ × 463¹

Step-2: Prime Factorization of 37509

Prime factors of 37509 are 3, 12503. Prime factorization of 37509 in exponential form is:

37509 = 3¹ × 12503¹

Step-3: Factors of 37503

List of positive integer factors of 37503 that divides 37503 without a remainder.

1, 3, 9, 27, 81, 463, 1389, 4167, 12501

Step-4: Factors of 37509

List of positive integer factors of 37509 that divides 37503 without a remainder.

1, 3, 12503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37503 and 37509. The biggest common factor number is the GCF number.
So the greatest common factor 37503 and 37509 is 3.

Also check out the Least Common Multiple of 37503 and 37509