What is the Greatest Common Factor of 58317 and 58337?

Greatest common factor (GCF) of 58317 and 58337 is 1.

GCF(58317,58337) = 1

We will now calculate the prime factors of 58317 and 58337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58317 and 58337.

How to find the GCF of 58317 and 58337?

We will first find the prime factorization of 58317 and 58337. After we will calculate the factors of 58317 and 58337 and find the biggest common factor number .

Step-1: Prime Factorization of 58317

Prime factors of 58317 are 3, 7, 2777. Prime factorization of 58317 in exponential form is:

58317 = 3¹ × 7¹ × 2777¹

Step-2: Prime Factorization of 58337

Prime factors of 58337 are 58337. Prime factorization of 58337 in exponential form is:

58337 = 58337¹

Step-3: Factors of 58317

List of positive integer factors of 58317 that divides 58317 without a remainder.

1, 3, 7, 21, 2777, 8331, 19439

Step-4: Factors of 58337

List of positive integer factors of 58337 that divides 58317 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58317 and 58337. The biggest common factor number is the GCF number.
So the greatest common factor 58317 and 58337 is 1.

Also check out the Least Common Multiple of 58317 and 58337