What is the Greatest Common Factor of 57942 and 57959?

Greatest common factor (GCF) of 57942 and 57959 is 1.

GCF(57942,57959) = 1

We will now calculate the prime factors of 57942 and 57959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57942 and 57959.

How to find the GCF of 57942 and 57959?

We will first find the prime factorization of 57942 and 57959. After we will calculate the factors of 57942 and 57959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57959

Prime factors of 57959 are 11, 479. Prime factorization of 57959 in exponential form is:

57959 = 11² × 479¹

Step-3: Factors of 57942

List of positive integer factors of 57942 that divides 57942 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

Step-4: Factors of 57959

List of positive integer factors of 57959 that divides 57942 without a remainder.

1, 11, 121, 479, 5269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57942 and 57959. The biggest common factor number is the GCF number.
So the greatest common factor 57942 and 57959 is 1.

Also check out the Least Common Multiple of 57942 and 57959