What is the Greatest Common Factor of 22371 and 22377?

Greatest common factor (GCF) of 22371 and 22377 is 3.

GCF(22371,22377) = 3

We will now calculate the prime factors of 22371 and 22377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22371 and 22377.

How to find the GCF of 22371 and 22377?

We will first find the prime factorization of 22371 and 22377. After we will calculate the factors of 22371 and 22377 and find the biggest common factor number .

Step-1: Prime Factorization of 22371

Prime factors of 22371 are 3, 7457. Prime factorization of 22371 in exponential form is:

22371 = 3¹ × 7457¹

Step-2: Prime Factorization of 22377

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

22377 = 3¹ × 7459¹

Step-3: Factors of 22371

List of positive integer factors of 22371 that divides 22371 without a remainder.

1, 3, 7457

Step-4: Factors of 22377

List of positive integer factors of 22377 that divides 22371 without a remainder.

1, 3, 7459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22371 and 22377. The biggest common factor number is the GCF number.
So the greatest common factor 22371 and 22377 is 3.

Also check out the Least Common Multiple of 22371 and 22377