What is the Greatest Common Factor of 58123 and 58136?

Greatest common factor (GCF) of 58123 and 58136 is 13.

GCF(58123,58136) = 13

We will now calculate the prime factors of 58123 and 58136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58123 and 58136.

How to find the GCF of 58123 and 58136?

We will first find the prime factorization of 58123 and 58136. After we will calculate the factors of 58123 and 58136 and find the biggest common factor number .

Step-1: Prime Factorization of 58123

Prime factors of 58123 are 13, 17, 263. Prime factorization of 58123 in exponential form is:

58123 = 13¹ × 17¹ × 263¹

Step-2: Prime Factorization of 58136

Prime factors of 58136 are 2, 13, 43. Prime factorization of 58136 in exponential form is:

58136 = 2³ × 13² × 43¹

Step-3: Factors of 58123

List of positive integer factors of 58123 that divides 58123 without a remainder.

1, 13, 17, 221, 263, 3419, 4471

Step-4: Factors of 58136

List of positive integer factors of 58136 that divides 58123 without a remainder.

1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 169, 172, 338, 344, 559, 676, 1118, 1352, 2236, 4472, 7267, 14534, 29068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58123 and 58136. The biggest common factor number is the GCF number.
So the greatest common factor 58123 and 58136 is 13.

Also check out the Least Common Multiple of 58123 and 58136