What is the Greatest Common Factor of 629 and 637?

Greatest common factor (GCF) of 629 and 637 is 1.

GCF(629,637) = 1

We will now calculate the prime factors of 629 and 637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 629 and 637.

How to find the GCF of 629 and 637?

We will first find the prime factorization of 629 and 637. After we will calculate the factors of 629 and 637 and find the biggest common factor number .

Step-1: Prime Factorization of 629

Prime factors of 629 are 17, 37. Prime factorization of 629 in exponential form is:

629 = 17¹ × 37¹

Step-2: Prime Factorization of 637

Prime factors of 637 are 7, 13. Prime factorization of 637 in exponential form is:

637 = 7² × 13¹

Step-3: Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1, 17, 37

Step-4: Factors of 637

List of positive integer factors of 637 that divides 629 without a remainder.

1, 7, 13, 49, 91

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 629 and 637. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 637 is 1.

Also check out the Least Common Multiple of 629 and 637