What is the Greatest Common Factor of 58315 and 58334?

Greatest common factor (GCF) of 58315 and 58334 is 1.

GCF(58315,58334) = 1

We will now calculate the prime factors of 58315 and 58334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58315 and 58334.

How to find the GCF of 58315 and 58334?

We will first find the prime factorization of 58315 and 58334. After we will calculate the factors of 58315 and 58334 and find the biggest common factor number .

Step-1: Prime Factorization of 58315

Prime factors of 58315 are 5, 107, 109. Prime factorization of 58315 in exponential form is:

58315 = 5¹ × 107¹ × 109¹

Step-2: Prime Factorization of 58334

Prime factors of 58334 are 2, 29167. Prime factorization of 58334 in exponential form is:

58334 = 2¹ × 29167¹

Step-3: Factors of 58315

List of positive integer factors of 58315 that divides 58315 without a remainder.

1, 5, 107, 109, 535, 545, 11663

Step-4: Factors of 58334

List of positive integer factors of 58334 that divides 58315 without a remainder.

1, 2, 29167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58315 and 58334. The biggest common factor number is the GCF number.
So the greatest common factor 58315 and 58334 is 1.

Also check out the Least Common Multiple of 58315 and 58334