What is the Greatest Common Factor of 5301 and 5316?

Greatest common factor (GCF) of 5301 and 5316 is 3.

GCF(5301,5316) = 3

We will now calculate the prime factors of 5301 and 5316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5301 and 5316.

How to find the GCF of 5301 and 5316?

We will first find the prime factorization of 5301 and 5316. After we will calculate the factors of 5301 and 5316 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 5316

Prime factors of 5316 are 2, 3, 443. Prime factorization of 5316 in exponential form is:

5316 = 2² × 3¹ × 443¹

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 5316

List of positive integer factors of 5316 that divides 5301 without a remainder.

1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5301 and 5316. The biggest common factor number is the GCF number.
So the greatest common factor 5301 and 5316 is 3.

Also check out the Least Common Multiple of 5301 and 5316