What is the Greatest Common Factor of 22340 and 22346?

Greatest common factor (GCF) of 22340 and 22346 is 2.

GCF(22340,22346) = 2

We will now calculate the prime factors of 22340 and 22346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22340 and 22346.

How to find the GCF of 22340 and 22346?

We will first find the prime factorization of 22340 and 22346. After we will calculate the factors of 22340 and 22346 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22346

Prime factors of 22346 are 2, 11173. Prime factorization of 22346 in exponential form is:

22346 = 2¹ × 11173¹

Step-3: Factors of 22340

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

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

Step-4: Factors of 22346

List of positive integer factors of 22346 that divides 22340 without a remainder.

1, 2, 11173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22340 and 22346. The biggest common factor number is the GCF number.
So the greatest common factor 22340 and 22346 is 2.

Also check out the Least Common Multiple of 22340 and 22346