What is the Greatest Common Factor of 6567 and 6578?

Greatest common factor (GCF) of 6567 and 6578 is 11.

GCF(6567,6578) = 11

We will now calculate the prime factors of 6567 and 6578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6567 and 6578.

How to find the GCF of 6567 and 6578?

We will first find the prime factorization of 6567 and 6578. After we will calculate the factors of 6567 and 6578 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6578

Prime factors of 6578 are 2, 11, 13, 23. Prime factorization of 6578 in exponential form is:

6578 = 2¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 6567

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

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

Step-4: Factors of 6578

List of positive integer factors of 6578 that divides 6567 without a remainder.

1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6567 and 6578. The biggest common factor number is the GCF number.
So the greatest common factor 6567 and 6578 is 11.

Also check out the Least Common Multiple of 6567 and 6578