What is the Greatest Common Factor of 37497 and 37506?

Greatest common factor (GCF) of 37497 and 37506 is 3.

GCF(37497,37506) = 3

We will now calculate the prime factors of 37497 and 37506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37497 and 37506.

How to find the GCF of 37497 and 37506?

We will first find the prime factorization of 37497 and 37506. After we will calculate the factors of 37497 and 37506 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37506

Prime factors of 37506 are 2, 3, 7, 19, 47. Prime factorization of 37506 in exponential form is:

37506 = 2¹ × 3¹ × 7¹ × 19¹ × 47¹

Step-3: Factors of 37497

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

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

Step-4: Factors of 37506

List of positive integer factors of 37506 that divides 37497 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 47, 57, 94, 114, 133, 141, 266, 282, 329, 399, 658, 798, 893, 987, 1786, 1974, 2679, 5358, 6251, 12502, 18753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37497 and 37506. The biggest common factor number is the GCF number.
So the greatest common factor 37497 and 37506 is 3.

Also check out the Least Common Multiple of 37497 and 37506