What is the Greatest Common Factor of 6629 and 6642?

Greatest common factor (GCF) of 6629 and 6642 is 1.

GCF(6629,6642) = 1

We will now calculate the prime factors of 6629 and 6642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6629 and 6642.

How to find the GCF of 6629 and 6642?

We will first find the prime factorization of 6629 and 6642. After we will calculate the factors of 6629 and 6642 and find the biggest common factor number .

Step-1: Prime Factorization of 6629

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

6629 = 7¹ × 947¹

Step-2: Prime Factorization of 6642

Prime factors of 6642 are 2, 3, 41. Prime factorization of 6642 in exponential form is:

6642 = 2¹ × 3⁴ × 41¹

Step-3: Factors of 6629

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

1, 7, 947

Step-4: Factors of 6642

List of positive integer factors of 6642 that divides 6629 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6629 and 6642. The biggest common factor number is the GCF number.
So the greatest common factor 6629 and 6642 is 1.

Also check out the Least Common Multiple of 6629 and 6642