What is the Greatest Common Factor of 22808 and 22824?

Greatest common factor (GCF) of 22808 and 22824 is 8.

GCF(22808,22824) = 8

We will now calculate the prime factors of 22808 and 22824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22808 and 22824.

How to find the GCF of 22808 and 22824?

We will first find the prime factorization of 22808 and 22824. After we will calculate the factors of 22808 and 22824 and find the biggest common factor number .

Step-1: Prime Factorization of 22808

Prime factors of 22808 are 2, 2851. Prime factorization of 22808 in exponential form is:

22808 = 2³ × 2851¹

Step-2: 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-3: Factors of 22808

List of positive integer factors of 22808 that divides 22808 without a remainder.

1, 2, 4, 8, 2851, 5702, 11404

Step-4: Factors of 22824

List of positive integer factors of 22824 that divides 22808 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22808 and 22824. The biggest common factor number is the GCF number.
So the greatest common factor 22808 and 22824 is 8.

Also check out the Least Common Multiple of 22808 and 22824