What is the Greatest Common Factor of 22341 and 22347?

Greatest common factor (GCF) of 22341 and 22347 is 3.

GCF(22341,22347) = 3

We will now calculate the prime factors of 22341 and 22347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22341 and 22347.

How to find the GCF of 22341 and 22347?

We will first find the prime factorization of 22341 and 22347. After we will calculate the factors of 22341 and 22347 and find the biggest common factor number .

Step-1: Prime Factorization of 22341

Prime factors of 22341 are 3, 11, 677. Prime factorization of 22341 in exponential form is:

22341 = 3¹ × 11¹ × 677¹

Step-2: Prime Factorization of 22347

Prime factors of 22347 are 3, 13, 191. Prime factorization of 22347 in exponential form is:

22347 = 3² × 13¹ × 191¹

Step-3: Factors of 22341

List of positive integer factors of 22341 that divides 22341 without a remainder.

1, 3, 11, 33, 677, 2031, 7447

Step-4: Factors of 22347

List of positive integer factors of 22347 that divides 22341 without a remainder.

1, 3, 9, 13, 39, 117, 191, 573, 1719, 2483, 7449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22341 and 22347. The biggest common factor number is the GCF number.
So the greatest common factor 22341 and 22347 is 3.

Also check out the Least Common Multiple of 22341 and 22347