What is the Greatest Common Factor of 22788 and 22798?

Greatest common factor (GCF) of 22788 and 22798 is 2.

GCF(22788,22798) = 2

We will now calculate the prime factors of 22788 and 22798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22788 and 22798.

How to find the GCF of 22788 and 22798?

We will first find the prime factorization of 22788 and 22798. After we will calculate the factors of 22788 and 22798 and find the biggest common factor number .

Step-1: Prime Factorization of 22788

Prime factors of 22788 are 2, 3, 211. Prime factorization of 22788 in exponential form is:

22788 = 2² × 3³ × 211¹

Step-2: Prime Factorization of 22798

Prime factors of 22798 are 2, 11399. Prime factorization of 22798 in exponential form is:

22798 = 2¹ × 11399¹

Step-3: Factors of 22788

List of positive integer factors of 22788 that divides 22788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 5697, 7596, 11394

Step-4: Factors of 22798

List of positive integer factors of 22798 that divides 22788 without a remainder.

1, 2, 11399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22788 and 22798. The biggest common factor number is the GCF number.
So the greatest common factor 22788 and 22798 is 2.

Also check out the Least Common Multiple of 22788 and 22798