What is the Greatest Common Factor of 13119 and 13128?

Greatest common factor (GCF) of 13119 and 13128 is 3.

GCF(13119,13128) = 3

We will now calculate the prime factors of 13119 and 13128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13119 and 13128.

How to find the GCF of 13119 and 13128?

We will first find the prime factorization of 13119 and 13128. After we will calculate the factors of 13119 and 13128 and find the biggest common factor number .

Step-1: Prime Factorization of 13119

Prime factors of 13119 are 3, 4373. Prime factorization of 13119 in exponential form is:

13119 = 3¹ × 4373¹

Step-2: Prime Factorization of 13128

Prime factors of 13128 are 2, 3, 547. Prime factorization of 13128 in exponential form is:

13128 = 2³ × 3¹ × 547¹

Step-3: Factors of 13119

List of positive integer factors of 13119 that divides 13119 without a remainder.

1, 3, 4373

Step-4: Factors of 13128

List of positive integer factors of 13128 that divides 13119 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 547, 1094, 1641, 2188, 3282, 4376, 6564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13119 and 13128. The biggest common factor number is the GCF number.
So the greatest common factor 13119 and 13128 is 3.

Also check out the Least Common Multiple of 13119 and 13128