What is the Greatest Common Factor of 57042 and 57058?

Greatest common factor (GCF) of 57042 and 57058 is 2.

GCF(57042,57058) = 2

We will now calculate the prime factors of 57042 and 57058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57042 and 57058.

How to find the GCF of 57042 and 57058?

We will first find the prime factorization of 57042 and 57058. After we will calculate the factors of 57042 and 57058 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 57058

Prime factors of 57058 are 2, 47, 607. Prime factorization of 57058 in exponential form is:

57058 = 2¹ × 47¹ × 607¹

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 57058

List of positive integer factors of 57058 that divides 57042 without a remainder.

1, 2, 47, 94, 607, 1214, 28529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57042 and 57058. The biggest common factor number is the GCF number.
So the greatest common factor 57042 and 57058 is 2.

Also check out the Least Common Multiple of 57042 and 57058