What is the Greatest Common Factor of 22773 and 22791?

Greatest common factor (GCF) of 22773 and 22791 is 3.

GCF(22773,22791) = 3

We will now calculate the prime factors of 22773 and 22791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22773 and 22791.

How to find the GCF of 22773 and 22791?

We will first find the prime factorization of 22773 and 22791. After we will calculate the factors of 22773 and 22791 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 22791

Prime factors of 22791 are 3, 71, 107. Prime factorization of 22791 in exponential form is:

22791 = 3¹ × 71¹ × 107¹

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 22791

List of positive integer factors of 22791 that divides 22773 without a remainder.

1, 3, 71, 107, 213, 321, 7597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22773 and 22791. The biggest common factor number is the GCF number.
So the greatest common factor 22773 and 22791 is 3.

Also check out the Least Common Multiple of 22773 and 22791