What is the Greatest Common Factor of 3627 and 3637?

Greatest common factor (GCF) of 3627 and 3637 is 1.

GCF(3627,3637) = 1

We will now calculate the prime factors of 3627 and 3637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3627 and 3637.

How to find the GCF of 3627 and 3637?

We will first find the prime factorization of 3627 and 3637. After we will calculate the factors of 3627 and 3637 and find the biggest common factor number .

Step-1: Prime Factorization of 3627

Prime factors of 3627 are 3, 13, 31. Prime factorization of 3627 in exponential form is:

3627 = 3² × 13¹ × 31¹

Step-2: Prime Factorization of 3637

Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:

3637 = 3637¹

Step-3: Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209

Step-4: Factors of 3637

List of positive integer factors of 3637 that divides 3627 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3627 and 3637. The biggest common factor number is the GCF number.
So the greatest common factor 3627 and 3637 is 1.

Also check out the Least Common Multiple of 3627 and 3637