What is the Greatest Common Factor of 52938 and 52947?

Greatest common factor (GCF) of 52938 and 52947 is 9.

GCF(52938,52947) = 9

We will now calculate the prime factors of 52938 and 52947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52938 and 52947.

How to find the GCF of 52938 and 52947?

We will first find the prime factorization of 52938 and 52947. After we will calculate the factors of 52938 and 52947 and find the biggest common factor number .

Step-1: Prime Factorization of 52938

Prime factors of 52938 are 2, 3, 17, 173. Prime factorization of 52938 in exponential form is:

52938 = 2¹ × 3² × 17¹ × 173¹

Step-2: Prime Factorization of 52947

Prime factors of 52947 are 3, 37, 53. Prime factorization of 52947 in exponential form is:

52947 = 3³ × 37¹ × 53¹

Step-3: Factors of 52938

List of positive integer factors of 52938 that divides 52938 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 173, 306, 346, 519, 1038, 1557, 2941, 3114, 5882, 8823, 17646, 26469

Step-4: Factors of 52947

List of positive integer factors of 52947 that divides 52938 without a remainder.

1, 3, 9, 27, 37, 53, 111, 159, 333, 477, 999, 1431, 1961, 5883, 17649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52938 and 52947. The biggest common factor number is the GCF number.
So the greatest common factor 52938 and 52947 is 9.

Also check out the Least Common Multiple of 52938 and 52947