What is the Greatest Common Factor of 629 and 646?

Greatest common factor (GCF) of 629 and 646 is 17.

GCF(629,646) = 17

We will now calculate the prime factors of 629 and 646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 629 and 646.

How to find the GCF of 629 and 646?

We will first find the prime factorization of 629 and 646. After we will calculate the factors of 629 and 646 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 646

Prime factors of 646 are 2, 17, 19. Prime factorization of 646 in exponential form is:

646 = 2¹ × 17¹ × 19¹

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 646

List of positive integer factors of 646 that divides 629 without a remainder.

1, 2, 17, 19, 34, 38, 323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 629 and 646. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 646 is 17.

Also check out the Least Common Multiple of 629 and 646