What is the Greatest Common Factor of 22332 and 22340?

Greatest common factor (GCF) of 22332 and 22340 is 4.

GCF(22332,22340) = 4

We will now calculate the prime factors of 22332 and 22340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22332 and 22340.

How to find the GCF of 22332 and 22340?

We will first find the prime factorization of 22332 and 22340. After we will calculate the factors of 22332 and 22340 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 22340

Prime factors of 22340 are 2, 5, 1117. Prime factorization of 22340 in exponential form is:

22340 = 2² × 5¹ × 1117¹

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 22340

List of positive integer factors of 22340 that divides 22332 without a remainder.

1, 2, 4, 5, 10, 20, 1117, 2234, 4468, 5585, 11170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22332 and 22340. The biggest common factor number is the GCF number.
So the greatest common factor 22332 and 22340 is 4.

Also check out the Least Common Multiple of 22332 and 22340