What is the Greatest Common Factor of 22332 and 22347?

Greatest common factor (GCF) of 22332 and 22347 is 3.

GCF(22332,22347) = 3

We will now calculate the prime factors of 22332 and 22347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22332 and 22347.

How to find the GCF of 22332 and 22347?

We will first find the prime factorization of 22332 and 22347. After we will calculate the factors of 22332 and 22347 and find the biggest common factor number .

Step-1: Prime Factorization of 22332

Prime factors of 22332 are 2, 3, 1861. Prime factorization of 22332 in exponential form is:

22332 = 2² × 3¹ × 1861¹

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 22332

List of positive integer factors of 22332 that divides 22332 without a remainder.

1, 2, 3, 4, 6, 12, 1861, 3722, 5583, 7444, 11166

Step-4: Factors of 22347

List of positive integer factors of 22347 that divides 22332 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 22332 and 22347. The biggest common factor number is the GCF number.
So the greatest common factor 22332 and 22347 is 3.

Also check out the Least Common Multiple of 22332 and 22347