What is the Greatest Common Factor of 22362 and 22371?

Greatest common factor (GCF) of 22362 and 22371 is 3.

GCF(22362,22371) = 3

We will now calculate the prime factors of 22362 and 22371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22362 and 22371.

How to find the GCF of 22362 and 22371?

We will first find the prime factorization of 22362 and 22371. After we will calculate the factors of 22362 and 22371 and find the biggest common factor number .

Step-1: Prime Factorization of 22362

Prime factors of 22362 are 2, 3, 3727. Prime factorization of 22362 in exponential form is:

22362 = 2¹ × 3¹ × 3727¹

Step-2: Prime Factorization of 22371

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

22371 = 3¹ × 7457¹

Step-3: Factors of 22362

List of positive integer factors of 22362 that divides 22362 without a remainder.

1, 2, 3, 6, 3727, 7454, 11181

Step-4: Factors of 22371

List of positive integer factors of 22371 that divides 22362 without a remainder.

1, 3, 7457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22362 and 22371. The biggest common factor number is the GCF number.
So the greatest common factor 22362 and 22371 is 3.

Also check out the Least Common Multiple of 22362 and 22371