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What is the Greatest Common Factor of 2647 and 2662?

Greatest common factor (GCF) of 2647 and 2662 is 1.

GCF(2647,2662) = 1

We will now calculate the prime factors of 2647 and 2662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2647 and 2662.

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How to find the GCF of 2647 and 2662?

We will first find the prime factorization of 2647 and 2662. After we will calculate the factors of 2647 and 2662 and find the biggest common factor number .

Step-1: Prime Factorization of 2647

Prime factors of 2647 are 2647. Prime factorization of 2647 in exponential form is:

2647 = 26471

Step-2: Prime Factorization of 2662

Prime factors of 2662 are 2, 11. Prime factorization of 2662 in exponential form is:

2662 = 21 × 113

Step-3: Factors of 2647

List of positive integer factors of 2647 that divides 2647 without a remainder.

1

Step-4: Factors of 2662

List of positive integer factors of 2662 that divides 2647 without a remainder.

1, 2, 11, 22, 121, 242, 1331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2647 and 2662. The biggest common factor number is the GCF number.
So the greatest common factor 2647 and 2662 is 1.

Also check out the Least Common Multiple of 2647 and 2662