What is the Greatest Common Factor of 22374 and 22394?

Greatest common factor (GCF) of 22374 and 22394 is 2.

GCF(22374,22394) = 2

We will now calculate the prime factors of 22374 and 22394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22374 and 22394.

How to find the GCF of 22374 and 22394?

We will first find the prime factorization of 22374 and 22394. After we will calculate the factors of 22374 and 22394 and find the biggest common factor number .

Step-1: Prime Factorization of 22374

Prime factors of 22374 are 2, 3, 11, 113. Prime factorization of 22374 in exponential form is:

22374 = 2¹ × 3² × 11¹ × 113¹

Step-2: Prime Factorization of 22394

Prime factors of 22394 are 2, 11197. Prime factorization of 22394 in exponential form is:

22394 = 2¹ × 11197¹

Step-3: Factors of 22374

List of positive integer factors of 22374 that divides 22374 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 113, 198, 226, 339, 678, 1017, 1243, 2034, 2486, 3729, 7458, 11187

Step-4: Factors of 22394

List of positive integer factors of 22394 that divides 22374 without a remainder.

1, 2, 11197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22374 and 22394. The biggest common factor number is the GCF number.
So the greatest common factor 22374 and 22394 is 2.

Also check out the Least Common Multiple of 22374 and 22394