What is the Greatest Common Factor of 629 and 636?

Greatest common factor (GCF) of 629 and 636 is 1.

GCF(629,636) = 1

We will now calculate the prime factors of 629 and 636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 629 and 636.

How to find the GCF of 629 and 636?

We will first find the prime factorization of 629 and 636. After we will calculate the factors of 629 and 636 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 636

Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:

636 = 2² × 3¹ × 53¹

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 636

List of positive integer factors of 636 that divides 629 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 629 and 636. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 636 is 1.

Also check out the Least Common Multiple of 629 and 636