What is the Greatest Common Factor of 58138 and 58156?

Greatest common factor (GCF) of 58138 and 58156 is 2.

GCF(58138,58156) = 2

We will now calculate the prime factors of 58138 and 58156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58138 and 58156.

How to find the GCF of 58138 and 58156?

We will first find the prime factorization of 58138 and 58156. After we will calculate the factors of 58138 and 58156 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58156

Prime factors of 58156 are 2, 7, 31, 67. Prime factorization of 58156 in exponential form is:

58156 = 2² × 7¹ × 31¹ × 67¹

Step-3: Factors of 58138

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

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

Step-4: Factors of 58156

List of positive integer factors of 58156 that divides 58138 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 67, 124, 134, 217, 268, 434, 469, 868, 938, 1876, 2077, 4154, 8308, 14539, 29078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58138 and 58156. The biggest common factor number is the GCF number.
So the greatest common factor 58138 and 58156 is 2.

Also check out the Least Common Multiple of 58138 and 58156