What is the Greatest Common Factor of 22377 and 22383?

Greatest common factor (GCF) of 22377 and 22383 is 3.

GCF(22377,22383) = 3

We will now calculate the prime factors of 22377 and 22383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22377 and 22383.

How to find the GCF of 22377 and 22383?

We will first find the prime factorization of 22377 and 22383. After we will calculate the factors of 22377 and 22383 and find the biggest common factor number .

Step-1: Prime Factorization of 22377

Prime factors of 22377 are 3, 7459. Prime factorization of 22377 in exponential form is:

22377 = 3¹ × 7459¹

Step-2: Prime Factorization of 22383

Prime factors of 22383 are 3, 829. Prime factorization of 22383 in exponential form is:

22383 = 3³ × 829¹

Step-3: Factors of 22377

List of positive integer factors of 22377 that divides 22377 without a remainder.

1, 3, 7459

Step-4: Factors of 22383

List of positive integer factors of 22383 that divides 22377 without a remainder.

1, 3, 9, 27, 829, 2487, 7461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22377 and 22383. The biggest common factor number is the GCF number.
So the greatest common factor 22377 and 22383 is 3.

Also check out the Least Common Multiple of 22377 and 22383