What is the Greatest Common Factor of 58310 and 58317?

Greatest common factor (GCF) of 58310 and 58317 is 7.

GCF(58310,58317) = 7

We will now calculate the prime factors of 58310 and 58317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58310 and 58317.

How to find the GCF of 58310 and 58317?

We will first find the prime factorization of 58310 and 58317. After we will calculate the factors of 58310 and 58317 and find the biggest common factor number .

Step-1: Prime Factorization of 58310

Prime factors of 58310 are 2, 5, 7, 17. Prime factorization of 58310 in exponential form is:

58310 = 2¹ × 5¹ × 7³ × 17¹

Step-2: 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-3: Factors of 58310

List of positive integer factors of 58310 that divides 58310 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 343, 490, 595, 686, 833, 1190, 1666, 1715, 3430, 4165, 5831, 8330, 11662, 29155

Step-4: Factors of 58317

List of positive integer factors of 58317 that divides 58310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58310 and 58317. The biggest common factor number is the GCF number.
So the greatest common factor 58310 and 58317 is 7.

Also check out the Least Common Multiple of 58310 and 58317