What is the Greatest Common Factor of 57058 and 57078?

Greatest common factor (GCF) of 57058 and 57078 is 2.

GCF(57058,57078) = 2

We will now calculate the prime factors of 57058 and 57078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57058 and 57078.

How to find the GCF of 57058 and 57078?

We will first find the prime factorization of 57058 and 57078. After we will calculate the factors of 57058 and 57078 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57078

Prime factors of 57078 are 2, 3, 7, 151. Prime factorization of 57078 in exponential form is:

57078 = 2¹ × 3³ × 7¹ × 151¹

Step-3: Factors of 57058

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

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

Step-4: Factors of 57078

List of positive integer factors of 57078 that divides 57058 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 151, 189, 302, 378, 453, 906, 1057, 1359, 2114, 2718, 3171, 4077, 6342, 8154, 9513, 19026, 28539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57058 and 57078. The biggest common factor number is the GCF number.
So the greatest common factor 57058 and 57078 is 2.

Also check out the Least Common Multiple of 57058 and 57078