What is the Greatest Common Factor of 58119 and 58136?

Greatest common factor (GCF) of 58119 and 58136 is 1.

GCF(58119,58136) = 1

We will now calculate the prime factors of 58119 and 58136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58119 and 58136.

How to find the GCF of 58119 and 58136?

We will first find the prime factorization of 58119 and 58136. After we will calculate the factors of 58119 and 58136 and find the biggest common factor number .

Step-1: Prime Factorization of 58119

Prime factors of 58119 are 3, 19373. Prime factorization of 58119 in exponential form is:

58119 = 3¹ × 19373¹

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 58119

List of positive integer factors of 58119 that divides 58119 without a remainder.

1, 3, 19373

Step-4: Factors of 58136

List of positive integer factors of 58136 that divides 58119 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 58119 and 58136. The biggest common factor number is the GCF number.
So the greatest common factor 58119 and 58136 is 1.

Also check out the Least Common Multiple of 58119 and 58136