What is the Greatest Common Factor of 15333 and 15339?

Greatest common factor (GCF) of 15333 and 15339 is 3.

GCF(15333,15339) = 3

We will now calculate the prime factors of 15333 and 15339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15333 and 15339.

How to find the GCF of 15333 and 15339?

We will first find the prime factorization of 15333 and 15339. After we will calculate the factors of 15333 and 15339 and find the biggest common factor number .

Step-1: Prime Factorization of 15333

Prime factors of 15333 are 3, 19, 269. Prime factorization of 15333 in exponential form is:

15333 = 3¹ × 19¹ × 269¹

Step-2: Prime Factorization of 15339

Prime factors of 15339 are 3, 5113. Prime factorization of 15339 in exponential form is:

15339 = 3¹ × 5113¹

Step-3: Factors of 15333

List of positive integer factors of 15333 that divides 15333 without a remainder.

1, 3, 19, 57, 269, 807, 5111

Step-4: Factors of 15339

List of positive integer factors of 15339 that divides 15333 without a remainder.

1, 3, 5113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15333 and 15339. The biggest common factor number is the GCF number.
So the greatest common factor 15333 and 15339 is 3.

Also check out the Least Common Multiple of 15333 and 15339