What is the Greatest Common Factor of 22788 and 22803?

Greatest common factor (GCF) of 22788 and 22803 is 3.

GCF(22788,22803) = 3

We will now calculate the prime factors of 22788 and 22803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22788 and 22803.

How to find the GCF of 22788 and 22803?

We will first find the prime factorization of 22788 and 22803. After we will calculate the factors of 22788 and 22803 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 22803

Prime factors of 22803 are 3, 11, 691. Prime factorization of 22803 in exponential form is:

22803 = 3¹ × 11¹ × 691¹

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 22803

List of positive integer factors of 22803 that divides 22788 without a remainder.

1, 3, 11, 33, 691, 2073, 7601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22788 and 22803. The biggest common factor number is the GCF number.
So the greatest common factor 22788 and 22803 is 3.

Also check out the Least Common Multiple of 22788 and 22803