What is the Greatest Common Factor of 15879 and 15894?

Greatest common factor (GCF) of 15879 and 15894 is 3.

GCF(15879,15894) = 3

We will now calculate the prime factors of 15879 and 15894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15879 and 15894.

How to find the GCF of 15879 and 15894?

We will first find the prime factorization of 15879 and 15894. After we will calculate the factors of 15879 and 15894 and find the biggest common factor number .

Step-1: Prime Factorization of 15879

Prime factors of 15879 are 3, 67, 79. Prime factorization of 15879 in exponential form is:

15879 = 3¹ × 67¹ × 79¹

Step-2: Prime Factorization of 15894

Prime factors of 15894 are 2, 3, 883. Prime factorization of 15894 in exponential form is:

15894 = 2¹ × 3² × 883¹

Step-3: Factors of 15879

List of positive integer factors of 15879 that divides 15879 without a remainder.

1, 3, 67, 79, 201, 237, 5293

Step-4: Factors of 15894

List of positive integer factors of 15894 that divides 15879 without a remainder.

1, 2, 3, 6, 9, 18, 883, 1766, 2649, 5298, 7947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15879 and 15894. The biggest common factor number is the GCF number.
So the greatest common factor 15879 and 15894 is 3.

Also check out the Least Common Multiple of 15879 and 15894