What is the Greatest Common Factor of 58317 and 58331?

Greatest common factor (GCF) of 58317 and 58331 is 7.

GCF(58317,58331) = 7

We will now calculate the prime factors of 58317 and 58331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58317 and 58331.

How to find the GCF of 58317 and 58331?

We will first find the prime factorization of 58317 and 58331. After we will calculate the factors of 58317 and 58331 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 58331

Prime factors of 58331 are 7, 13, 641. Prime factorization of 58331 in exponential form is:

58331 = 7¹ × 13¹ × 641¹

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 58331

List of positive integer factors of 58331 that divides 58317 without a remainder.

1, 7, 13, 91, 641, 4487, 8333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58317 and 58331. The biggest common factor number is the GCF number.
So the greatest common factor 58317 and 58331 is 7.

Also check out the Least Common Multiple of 58317 and 58331