What is the Greatest Common Factor of 6643 and 6657?

Greatest common factor (GCF) of 6643 and 6657 is 7.

GCF(6643,6657) = 7

We will now calculate the prime factors of 6643 and 6657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6643 and 6657.

How to find the GCF of 6643 and 6657?

We will first find the prime factorization of 6643 and 6657. After we will calculate the factors of 6643 and 6657 and find the biggest common factor number .

Step-1: Prime Factorization of 6643

Prime factors of 6643 are 7, 13, 73. Prime factorization of 6643 in exponential form is:

6643 = 7¹ × 13¹ × 73¹

Step-2: Prime Factorization of 6657

Prime factors of 6657 are 3, 7, 317. Prime factorization of 6657 in exponential form is:

6657 = 3¹ × 7¹ × 317¹

Step-3: Factors of 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1, 7, 13, 73, 91, 511, 949

Step-4: Factors of 6657

List of positive integer factors of 6657 that divides 6643 without a remainder.

1, 3, 7, 21, 317, 951, 2219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6643 and 6657. The biggest common factor number is the GCF number.
So the greatest common factor 6643 and 6657 is 7.

Also check out the Least Common Multiple of 6643 and 6657