What is the Greatest Common Factor of 6617 and 6629?

Greatest common factor (GCF) of 6617 and 6629 is 1.

GCF(6617,6629) = 1

We will now calculate the prime factors of 6617 and 6629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6617 and 6629.

How to find the GCF of 6617 and 6629?

We will first find the prime factorization of 6617 and 6629. After we will calculate the factors of 6617 and 6629 and find the biggest common factor number .

Step-1: Prime Factorization of 6617

Prime factors of 6617 are 13, 509. Prime factorization of 6617 in exponential form is:

6617 = 13¹ × 509¹

Step-2: Prime Factorization of 6629

Prime factors of 6629 are 7, 947. Prime factorization of 6629 in exponential form is:

6629 = 7¹ × 947¹

Step-3: Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1, 13, 509

Step-4: Factors of 6629

List of positive integer factors of 6629 that divides 6617 without a remainder.

1, 7, 947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6617 and 6629. The biggest common factor number is the GCF number.
So the greatest common factor 6617 and 6629 is 1.

Also check out the Least Common Multiple of 6617 and 6629