What is the Greatest Common Factor of 57042 and 57060?

Greatest common factor (GCF) of 57042 and 57060 is 18.

GCF(57042,57060) = 18

We will now calculate the prime factors of 57042 and 57060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57042 and 57060.

How to find the GCF of 57042 and 57060?

We will first find the prime factorization of 57042 and 57060. After we will calculate the factors of 57042 and 57060 and find the biggest common factor number .

Step-1: Prime Factorization of 57042

Prime factors of 57042 are 2, 3, 3169. Prime factorization of 57042 in exponential form is:

57042 = 2¹ × 3² × 3169¹

Step-2: Prime Factorization of 57060

Prime factors of 57060 are 2, 3, 5, 317. Prime factorization of 57060 in exponential form is:

57060 = 2² × 3² × 5¹ × 317¹

Step-3: Factors of 57042

List of positive integer factors of 57042 that divides 57042 without a remainder.

1, 2, 3, 6, 9, 18, 3169, 6338, 9507, 19014, 28521

Step-4: Factors of 57060

List of positive integer factors of 57060 that divides 57042 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 317, 634, 951, 1268, 1585, 1902, 2853, 3170, 3804, 4755, 5706, 6340, 9510, 11412, 14265, 19020, 28530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57042 and 57060. The biggest common factor number is the GCF number.
So the greatest common factor 57042 and 57060 is 18.

Also check out the Least Common Multiple of 57042 and 57060