What is the Greatest Common Factor of 58130 and 58138?

Greatest common factor (GCF) of 58130 and 58138 is 2.

GCF(58130,58138) = 2

We will now calculate the prime factors of 58130 and 58138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58130 and 58138.

How to find the GCF of 58130 and 58138?

We will first find the prime factorization of 58130 and 58138. After we will calculate the factors of 58130 and 58138 and find the biggest common factor number .

Step-1: Prime Factorization of 58130

Prime factors of 58130 are 2, 5, 5813. Prime factorization of 58130 in exponential form is:

58130 = 2¹ × 5¹ × 5813¹

Step-2: Prime Factorization of 58138

Prime factors of 58138 are 2, 41, 709. Prime factorization of 58138 in exponential form is:

58138 = 2¹ × 41¹ × 709¹

Step-3: Factors of 58130

List of positive integer factors of 58130 that divides 58130 without a remainder.

1, 2, 5, 10, 5813, 11626, 29065

Step-4: Factors of 58138

List of positive integer factors of 58138 that divides 58130 without a remainder.

1, 2, 41, 82, 709, 1418, 29069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58130 and 58138. The biggest common factor number is the GCF number.
So the greatest common factor 58130 and 58138 is 2.

Also check out the Least Common Multiple of 58130 and 58138