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What is the Greatest Common Factor of 6551 and 6567?

Greatest common factor (GCF) of 6551 and 6567 is 1.

GCF(6551,6567) = 1

We will now calculate the prime factors of 6551 and 6567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6551 and 6567.

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How to find the GCF of 6551 and 6567?

We will first find the prime factorization of 6551 and 6567. After we will calculate the factors of 6551 and 6567 and find the biggest common factor number .

Step-1: Prime Factorization of 6551

Prime factors of 6551 are 6551. Prime factorization of 6551 in exponential form is:

6551 = 65511

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 6551

List of positive integer factors of 6551 that divides 6551 without a remainder.

1

Step-4: Factors of 6567

List of positive integer factors of 6567 that divides 6551 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6551 and 6567. The biggest common factor number is the GCF number.
So the greatest common factor 6551 and 6567 is 1.

Also check out the Least Common Multiple of 6551 and 6567