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What is the Greatest Common Factor of 52677 and 52683?

Greatest common factor (GCF) of 52677 and 52683 is 3.

GCF(52677,52683) = 3

We will now calculate the prime factors of 52677 and 52683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52677 and 52683.

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How to find the GCF of 52677 and 52683?

We will first find the prime factorization of 52677 and 52683. After we will calculate the factors of 52677 and 52683 and find the biggest common factor number .

Step-1: Prime Factorization of 52677

Prime factors of 52677 are 3, 1951. Prime factorization of 52677 in exponential form is:

52677 = 33 × 19511

Step-2: Prime Factorization of 52683

Prime factors of 52683 are 3, 17, 1033. Prime factorization of 52683 in exponential form is:

52683 = 31 × 171 × 10331

Step-3: Factors of 52677

List of positive integer factors of 52677 that divides 52677 without a remainder.

1, 3, 9, 27, 1951, 5853, 17559

Step-4: Factors of 52683

List of positive integer factors of 52683 that divides 52677 without a remainder.

1, 3, 17, 51, 1033, 3099, 17561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52677 and 52683. The biggest common factor number is the GCF number.
So the greatest common factor 52677 and 52683 is 3.

Also check out the Least Common Multiple of 52677 and 52683