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What is the Greatest Common Factor of 52665 and 52683?

Greatest common factor (GCF) of 52665 and 52683 is 3.

GCF(52665,52683) = 3

We will now calculate the prime factors of 52665 and 52683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52665 and 52683.

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How to find the GCF of 52665 and 52683?

We will first find the prime factorization of 52665 and 52683. After we will calculate the factors of 52665 and 52683 and find the biggest common factor number .

Step-1: Prime Factorization of 52665

Prime factors of 52665 are 3, 5, 3511. Prime factorization of 52665 in exponential form is:

52665 = 31 × 51 × 35111

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 52665

List of positive integer factors of 52665 that divides 52665 without a remainder.

1, 3, 5, 15, 3511, 10533, 17555

Step-4: Factors of 52683

List of positive integer factors of 52683 that divides 52665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52665 and 52683. The biggest common factor number is the GCF number.
So the greatest common factor 52665 and 52683 is 3.

Also check out the Least Common Multiple of 52665 and 52683