What is the Greatest Common Factor of 6556 and 6567?

Greatest common factor (GCF) of 6556 and 6567 is 11.

GCF(6556,6567) = 11

We will now calculate the prime factors of 6556 and 6567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6556 and 6567.

How to find the GCF of 6556 and 6567?

We will first find the prime factorization of 6556 and 6567. After we will calculate the factors of 6556 and 6567 and find the biggest common factor number .

Step-1: Prime Factorization of 6556

Prime factors of 6556 are 2, 11, 149. Prime factorization of 6556 in exponential form is:

6556 = 2² × 11¹ × 149¹

Step-2: Prime Factorization of 6567

Prime factors of 6567 are 3, 11, 199. Prime factorization of 6567 in exponential form is:

6567 = 3¹ × 11¹ × 199¹

Step-3: Factors of 6556

List of positive integer factors of 6556 that divides 6556 without a remainder.

1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278

Step-4: Factors of 6567

List of positive integer factors of 6567 that divides 6556 without a remainder.

1, 3, 11, 33, 199, 597, 2189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6556 and 6567. The biggest common factor number is the GCF number.
So the greatest common factor 6556 and 6567 is 11.

Also check out the Least Common Multiple of 6556 and 6567