What is the Greatest Common Factor of 629 and 649?

Greatest common factor (GCF) of 629 and 649 is 1.

GCF(629,649) = 1

We will now calculate the prime factors of 629 and 649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 629 and 649.

How to find the GCF of 629 and 649?

We will first find the prime factorization of 629 and 649. After we will calculate the factors of 629 and 649 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 649

Prime factors of 649 are 11, 59. Prime factorization of 649 in exponential form is:

649 = 11¹ × 59¹

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 649

List of positive integer factors of 649 that divides 629 without a remainder.

1, 11, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 629 and 649. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 649 is 1.

Also check out the Least Common Multiple of 629 and 649