What is the Greatest Common Factor of 37497 and 37501?

Greatest common factor (GCF) of 37497 and 37501 is 1.

GCF(37497,37501) = 1

We will now calculate the prime factors of 37497 and 37501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37497 and 37501.

How to find the GCF of 37497 and 37501?

We will first find the prime factorization of 37497 and 37501. After we will calculate the factors of 37497 and 37501 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 37501

Prime factors of 37501 are 37501. Prime factorization of 37501 in exponential form is:

37501 = 37501¹

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 37501

List of positive integer factors of 37501 that divides 37497 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37497 and 37501. The biggest common factor number is the GCF number.
So the greatest common factor 37497 and 37501 is 1.

Also check out the Least Common Multiple of 37497 and 37501