What is the Greatest Common Factor of 612 and 629?

Greatest common factor (GCF) of 612 and 629 is 17.

GCF(612,629) = 17

We will now calculate the prime factors of 612 and 629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 612 and 629.

How to find the GCF of 612 and 629?

We will first find the prime factorization of 612 and 629. After we will calculate the factors of 612 and 629 and find the biggest common factor number .

Step-1: Prime Factorization of 612

Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:

612 = 2² × 3² × 17¹

Step-2: Prime Factorization of 629

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

629 = 17¹ × 37¹

Step-3: Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306

Step-4: Factors of 629

List of positive integer factors of 629 that divides 612 without a remainder.

1, 17, 37

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 612 and 629. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 629 is 17.

Also check out the Least Common Multiple of 612 and 629