What is the Greatest Common Factor of 37687 and 37701?

Greatest common factor (GCF) of 37687 and 37701 is 1.

GCF(37687,37701) = 1

We will now calculate the prime factors of 37687 and 37701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37687 and 37701.

How to find the GCF of 37687 and 37701?

We will first find the prime factorization of 37687 and 37701. After we will calculate the factors of 37687 and 37701 and find the biggest common factor number .

Step-1: Prime Factorization of 37687

Prime factors of 37687 are 13, 223. Prime factorization of 37687 in exponential form is:

37687 = 13² × 223¹

Step-2: Prime Factorization of 37701

Prime factors of 37701 are 3, 59, 71. Prime factorization of 37701 in exponential form is:

37701 = 3² × 59¹ × 71¹

Step-3: Factors of 37687

List of positive integer factors of 37687 that divides 37687 without a remainder.

1, 13, 169, 223, 2899

Step-4: Factors of 37701

List of positive integer factors of 37701 that divides 37687 without a remainder.

1, 3, 9, 59, 71, 177, 213, 531, 639, 4189, 12567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37687 and 37701. The biggest common factor number is the GCF number.
So the greatest common factor 37687 and 37701 is 1.

Also check out the Least Common Multiple of 37687 and 37701