What is the Greatest Common Factor of 57942 and 57954?

Greatest common factor (GCF) of 57942 and 57954 is 6.

GCF(57942,57954) = 6

We will now calculate the prime factors of 57942 and 57954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57942 and 57954.

How to find the GCF of 57942 and 57954?

We will first find the prime factorization of 57942 and 57954. After we will calculate the factors of 57942 and 57954 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 57954

Prime factors of 57954 are 2, 3, 13, 743. Prime factorization of 57954 in exponential form is:

57954 = 2¹ × 3¹ × 13¹ × 743¹

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 57954

List of positive integer factors of 57954 that divides 57942 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 743, 1486, 2229, 4458, 9659, 19318, 28977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57942 and 57954. The biggest common factor number is the GCF number.
So the greatest common factor 57942 and 57954 is 6.

Also check out the Least Common Multiple of 57942 and 57954