What is the Greatest Common Factor of 5301 and 5317?

Greatest common factor (GCF) of 5301 and 5317 is 1.

GCF(5301,5317) = 1

We will now calculate the prime factors of 5301 and 5317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5301 and 5317.

How to find the GCF of 5301 and 5317?

We will first find the prime factorization of 5301 and 5317. After we will calculate the factors of 5301 and 5317 and find the biggest common factor number .

Step-1: Prime Factorization of 5301

Prime factors of 5301 are 3, 19, 31. Prime factorization of 5301 in exponential form is:

5301 = 3² × 19¹ × 31¹

Step-2: Prime Factorization of 5317

Prime factors of 5317 are 13, 409. Prime factorization of 5317 in exponential form is:

5317 = 13¹ × 409¹

Step-3: Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767

Step-4: Factors of 5317

List of positive integer factors of 5317 that divides 5301 without a remainder.

1, 13, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5301 and 5317. The biggest common factor number is the GCF number.
So the greatest common factor 5301 and 5317 is 1.

Also check out the Least Common Multiple of 5301 and 5317