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What is the Greatest Common Factor of 52974 and 52980?

Greatest common factor (GCF) of 52974 and 52980 is 6.

GCF(52974,52980) = 6

We will now calculate the prime factors of 52974 and 52980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52974 and 52980.

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How to find the GCF of 52974 and 52980?

We will first find the prime factorization of 52974 and 52980. After we will calculate the factors of 52974 and 52980 and find the biggest common factor number .

Step-1: Prime Factorization of 52974

Prime factors of 52974 are 2, 3, 109. Prime factorization of 52974 in exponential form is:

52974 = 21 × 35 × 1091

Step-2: Prime Factorization of 52980

Prime factors of 52980 are 2, 3, 5, 883. Prime factorization of 52980 in exponential form is:

52980 = 22 × 31 × 51 × 8831

Step-3: Factors of 52974

List of positive integer factors of 52974 that divides 52974 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 109, 162, 218, 243, 327, 486, 654, 981, 1962, 2943, 5886, 8829, 17658, 26487

Step-4: Factors of 52980

List of positive integer factors of 52980 that divides 52974 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 883, 1766, 2649, 3532, 4415, 5298, 8830, 10596, 13245, 17660, 26490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52974 and 52980. The biggest common factor number is the GCF number.
So the greatest common factor 52974 and 52980 is 6.

Also check out the Least Common Multiple of 52974 and 52980