What is the Greatest Common Factor of 15822 and 15828?

Greatest common factor (GCF) of 15822 and 15828 is 6.

GCF(15822,15828) = 6

We will now calculate the prime factors of 15822 and 15828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15822 and 15828.

How to find the GCF of 15822 and 15828?

We will first find the prime factorization of 15822 and 15828. After we will calculate the factors of 15822 and 15828 and find the biggest common factor number .

Step-1: Prime Factorization of 15822

Prime factors of 15822 are 2, 3, 293. Prime factorization of 15822 in exponential form is:

15822 = 2¹ × 3³ × 293¹

Step-2: Prime Factorization of 15828

Prime factors of 15828 are 2, 3, 1319. Prime factorization of 15828 in exponential form is:

15828 = 2² × 3¹ × 1319¹

Step-3: Factors of 15822

List of positive integer factors of 15822 that divides 15822 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 293, 586, 879, 1758, 2637, 5274, 7911

Step-4: Factors of 15828

List of positive integer factors of 15828 that divides 15822 without a remainder.

1, 2, 3, 4, 6, 12, 1319, 2638, 3957, 5276, 7914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15822 and 15828. The biggest common factor number is the GCF number.
So the greatest common factor 15822 and 15828 is 6.

Also check out the Least Common Multiple of 15822 and 15828