What is the Greatest Common Factor of 58156 and 58174?

Greatest common factor (GCF) of 58156 and 58174 is 2.

GCF(58156,58174) = 2

We will now calculate the prime factors of 58156 and 58174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58156 and 58174.

How to find the GCF of 58156 and 58174?

We will first find the prime factorization of 58156 and 58174. After we will calculate the factors of 58156 and 58174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58174

Prime factors of 58174 are 2, 17, 29, 59. Prime factorization of 58174 in exponential form is:

58174 = 2¹ × 17¹ × 29¹ × 59¹

Step-3: Factors of 58156

List of positive integer factors of 58156 that divides 58156 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

Step-4: Factors of 58174

List of positive integer factors of 58174 that divides 58156 without a remainder.

1, 2, 17, 29, 34, 58, 59, 118, 493, 986, 1003, 1711, 2006, 3422, 29087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58156 and 58174. The biggest common factor number is the GCF number.
So the greatest common factor 58156 and 58174 is 2.

Also check out the Least Common Multiple of 58156 and 58174