What is the Greatest Common Factor of 57942 and 57961?

Greatest common factor (GCF) of 57942 and 57961 is 1.

GCF(57942,57961) = 1

We will now calculate the prime factors of 57942 and 57961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57942 and 57961.

How to find the GCF of 57942 and 57961?

We will first find the prime factorization of 57942 and 57961. After we will calculate the factors of 57942 and 57961 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 57961

Prime factors of 57961 are 149, 389. Prime factorization of 57961 in exponential form is:

57961 = 149¹ × 389¹

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 57961

List of positive integer factors of 57961 that divides 57942 without a remainder.

1, 149, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57942 and 57961. The biggest common factor number is the GCF number.
So the greatest common factor 57942 and 57961 is 1.

Also check out the Least Common Multiple of 57942 and 57961