What is the Greatest Common Factor of 22824 and 22838?

Greatest common factor (GCF) of 22824 and 22838 is 2.

GCF(22824,22838) = 2

We will now calculate the prime factors of 22824 and 22838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22824 and 22838.

How to find the GCF of 22824 and 22838?

We will first find the prime factorization of 22824 and 22838. After we will calculate the factors of 22824 and 22838 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 22838

Prime factors of 22838 are 2, 19, 601. Prime factorization of 22838 in exponential form is:

22838 = 2¹ × 19¹ × 601¹

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 22838

List of positive integer factors of 22838 that divides 22824 without a remainder.

1, 2, 19, 38, 601, 1202, 11419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22824 and 22838. The biggest common factor number is the GCF number.
So the greatest common factor 22824 and 22838 is 2.

Also check out the Least Common Multiple of 22824 and 22838