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What is the Greatest Common Factor of 52848 and 52866?

Greatest common factor (GCF) of 52848 and 52866 is 18.

GCF(52848,52866) = 18

We will now calculate the prime factors of 52848 and 52866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52848 and 52866.

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How to find the GCF of 52848 and 52866?

We will first find the prime factorization of 52848 and 52866. After we will calculate the factors of 52848 and 52866 and find the biggest common factor number .

Step-1: Prime Factorization of 52848

Prime factors of 52848 are 2, 3, 367. Prime factorization of 52848 in exponential form is:

52848 = 24 × 32 × 3671

Step-2: Prime Factorization of 52866

Prime factors of 52866 are 2, 3, 11, 89. Prime factorization of 52866 in exponential form is:

52866 = 21 × 33 × 111 × 891

Step-3: Factors of 52848

List of positive integer factors of 52848 that divides 52848 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 5872, 6606, 8808, 13212, 17616, 26424

Step-4: Factors of 52866

List of positive integer factors of 52866 that divides 52848 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 89, 99, 178, 198, 267, 297, 534, 594, 801, 979, 1602, 1958, 2403, 2937, 4806, 5874, 8811, 17622, 26433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52848 and 52866. The biggest common factor number is the GCF number.
So the greatest common factor 52848 and 52866 is 18.

Also check out the Least Common Multiple of 52848 and 52866