What is the Greatest Common Factor of 57933 and 57942?

Greatest common factor (GCF) of 57933 and 57942 is 9.

GCF(57933,57942) = 9

We will now calculate the prime factors of 57933 and 57942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57933 and 57942.

How to find the GCF of 57933 and 57942?

We will first find the prime factorization of 57933 and 57942. After we will calculate the factors of 57933 and 57942 and find the biggest common factor number .

Step-1: Prime Factorization of 57933

Prime factors of 57933 are 3, 41, 157. Prime factorization of 57933 in exponential form is:

57933 = 3² × 41¹ × 157¹

Step-2: Prime Factorization of 57942

Prime factors of 57942 are 2, 3, 29, 37. Prime factorization of 57942 in exponential form is:

57942 = 2¹ × 3³ × 29¹ × 37¹

Step-3: Factors of 57933

List of positive integer factors of 57933 that divides 57933 without a remainder.

1, 3, 9, 41, 123, 157, 369, 471, 1413, 6437, 19311

Step-4: Factors of 57942

List of positive integer factors of 57942 that divides 57933 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 37, 54, 58, 74, 87, 111, 174, 222, 261, 333, 522, 666, 783, 999, 1073, 1566, 1998, 2146, 3219, 6438, 9657, 19314, 28971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57933 and 57942. The biggest common factor number is the GCF number.
So the greatest common factor 57933 and 57942 is 9.

Also check out the Least Common Multiple of 57933 and 57942