What is the Greatest Common Factor of 22773 and 22788?

Greatest common factor (GCF) of 22773 and 22788 is 3.

GCF(22773,22788) = 3

We will now calculate the prime factors of 22773 and 22788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22773 and 22788.

How to find the GCF of 22773 and 22788?

We will first find the prime factorization of 22773 and 22788. After we will calculate the factors of 22773 and 22788 and find the biggest common factor number .

Step-1: Prime Factorization of 22773

Prime factors of 22773 are 3, 7591. Prime factorization of 22773 in exponential form is:

22773 = 3¹ × 7591¹

Step-2: 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-3: Factors of 22773

List of positive integer factors of 22773 that divides 22773 without a remainder.

1, 3, 7591

Step-4: Factors of 22788

List of positive integer factors of 22788 that divides 22773 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22773 and 22788. The biggest common factor number is the GCF number.
So the greatest common factor 22773 and 22788 is 3.

Also check out the Least Common Multiple of 22773 and 22788