What is the Greatest Common Factor of 22377 and 22392?

Greatest common factor (GCF) of 22377 and 22392 is 3.

GCF(22377,22392) = 3

We will now calculate the prime factors of 22377 and 22392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22377 and 22392.

How to find the GCF of 22377 and 22392?

We will first find the prime factorization of 22377 and 22392. After we will calculate the factors of 22377 and 22392 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 22392

Prime factors of 22392 are 2, 3, 311. Prime factorization of 22392 in exponential form is:

22392 = 2³ × 3² × 311¹

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 22392

List of positive integer factors of 22392 that divides 22377 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 5598, 7464, 11196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22377 and 22392. The biggest common factor number is the GCF number.
So the greatest common factor 22377 and 22392 is 3.

Also check out the Least Common Multiple of 22377 and 22392