What is the Greatest Common Factor of 22824 and 22839?

Greatest common factor (GCF) of 22824 and 22839 is 3.

GCF(22824,22839) = 3

We will now calculate the prime factors of 22824 and 22839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22824 and 22839.

How to find the GCF of 22824 and 22839?

We will first find the prime factorization of 22824 and 22839. After we will calculate the factors of 22824 and 22839 and find the biggest common factor number .

Step-1: Prime Factorization of 22824

Prime factors of 22824 are 2, 3, 317. Prime factorization of 22824 in exponential form is:

22824 = 2³ × 3² × 317¹

Step-2: Prime Factorization of 22839

Prime factors of 22839 are 3, 23, 331. Prime factorization of 22839 in exponential form is:

22839 = 3¹ × 23¹ × 331¹

Step-3: Factors of 22824

List of positive integer factors of 22824 that divides 22824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5706, 7608, 11412

Step-4: Factors of 22839

List of positive integer factors of 22839 that divides 22824 without a remainder.

1, 3, 23, 69, 331, 993, 7613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22824 and 22839. The biggest common factor number is the GCF number.
So the greatest common factor 22824 and 22839 is 3.

Also check out the Least Common Multiple of 22824 and 22839