What is the Greatest Common Factor of 37499 and 37503?

Greatest common factor (GCF) of 37499 and 37503 is 1.

GCF(37499,37503) = 1

We will now calculate the prime factors of 37499 and 37503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37499 and 37503.

How to find the GCF of 37499 and 37503?

We will first find the prime factorization of 37499 and 37503. After we will calculate the factors of 37499 and 37503 and find the biggest common factor number .

Step-1: Prime Factorization of 37499

Prime factors of 37499 are 7, 11, 487. Prime factorization of 37499 in exponential form is:

37499 = 7¹ × 11¹ × 487¹

Step-2: Prime Factorization of 37503

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

37503 = 3⁴ × 463¹

Step-3: Factors of 37499

List of positive integer factors of 37499 that divides 37499 without a remainder.

1, 7, 11, 77, 487, 3409, 5357

Step-4: Factors of 37503

List of positive integer factors of 37503 that divides 37499 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37499 and 37503. The biggest common factor number is the GCF number.
So the greatest common factor 37499 and 37503 is 1.

Also check out the Least Common Multiple of 37499 and 37503