What is the Greatest Common Factor of 6638 and 6649?

Greatest common factor (GCF) of 6638 and 6649 is 1.

GCF(6638,6649) = 1

We will now calculate the prime factors of 6638 and 6649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6638 and 6649.

How to find the GCF of 6638 and 6649?

We will first find the prime factorization of 6638 and 6649. After we will calculate the factors of 6638 and 6649 and find the biggest common factor number .

Step-1: Prime Factorization of 6638

Prime factors of 6638 are 2, 3319. Prime factorization of 6638 in exponential form is:

6638 = 2¹ × 3319¹

Step-2: Prime Factorization of 6649

Prime factors of 6649 are 61, 109. Prime factorization of 6649 in exponential form is:

6649 = 61¹ × 109¹

Step-3: Factors of 6638

List of positive integer factors of 6638 that divides 6638 without a remainder.

1, 2, 3319

Step-4: Factors of 6649

List of positive integer factors of 6649 that divides 6638 without a remainder.

1, 61, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6638 and 6649. The biggest common factor number is the GCF number.
So the greatest common factor 6638 and 6649 is 1.

Also check out the Least Common Multiple of 6638 and 6649