What is the Greatest Common Factor of 6617 and 6632?

Greatest common factor (GCF) of 6617 and 6632 is 1.

GCF(6617,6632) = 1

We will now calculate the prime factors of 6617 and 6632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6617 and 6632.

How to find the GCF of 6617 and 6632?

We will first find the prime factorization of 6617 and 6632. After we will calculate the factors of 6617 and 6632 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 6632

Prime factors of 6632 are 2, 829. Prime factorization of 6632 in exponential form is:

6632 = 2³ × 829¹

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 6632

List of positive integer factors of 6632 that divides 6617 without a remainder.

1, 2, 4, 8, 829, 1658, 3316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6617 and 6632. The biggest common factor number is the GCF number.
So the greatest common factor 6617 and 6632 is 1.

Also check out the Least Common Multiple of 6617 and 6632