What is the Greatest Common Factor of 300 and 317?

Greatest common factor (GCF) of 300 and 317 is 1.

GCF(300,317) = 1

We will now calculate the prime factors of 300 and 317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 300 and 317.

How to find the GCF of 300 and 317?

We will first find the prime factorization of 300 and 317. After we will calculate the factors of 300 and 317 and find the biggest common factor number .

Step-1: Prime Factorization of 300

Prime factors of 300 are 2, 3, 5. Prime factorization of 300 in exponential form is:

300 = 2² × 3¹ × 5²

Step-2: Prime Factorization of 317

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 317¹

Step-3: Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150

Step-4: Factors of 317

List of positive integer factors of 317 that divides 300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 300 and 317. The biggest common factor number is the GCF number.
So the greatest common factor 300 and 317 is 1.

Also check out the Least Common Multiple of 300 and 317