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What is the Greatest Common Factor of 12655 and 12671?

Greatest common factor (GCF) of 12655 and 12671 is 1.

GCF(12655,12671) = 1

We will now calculate the prime factors of 12655 and 12671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12655 and 12671.

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How to find the GCF of 12655 and 12671?

We will first find the prime factorization of 12655 and 12671. After we will calculate the factors of 12655 and 12671 and find the biggest common factor number .

Step-1: Prime Factorization of 12655

Prime factors of 12655 are 5, 2531. Prime factorization of 12655 in exponential form is:

12655 = 51 × 25311

Step-2: Prime Factorization of 12671

Prime factors of 12671 are 12671. Prime factorization of 12671 in exponential form is:

12671 = 126711

Step-3: Factors of 12655

List of positive integer factors of 12655 that divides 12655 without a remainder.

1, 5, 2531

Step-4: Factors of 12671

List of positive integer factors of 12671 that divides 12655 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12655 and 12671. The biggest common factor number is the GCF number.
So the greatest common factor 12655 and 12671 is 1.

Also check out the Least Common Multiple of 12655 and 12671