What is the Greatest Common Factor of 22374 and 22392?

Greatest common factor (GCF) of 22374 and 22392 is 18.

GCF(22374,22392) = 18

We will now calculate the prime factors of 22374 and 22392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22374 and 22392.

How to find the GCF of 22374 and 22392?

We will first find the prime factorization of 22374 and 22392. After we will calculate the factors of 22374 and 22392 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 22392

Prime factors of 22392 are 2, 3, 311. Prime factorization of 22392 in exponential form is:

22392 = 2³ × 3² × 311¹

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 22392

List of positive integer factors of 22392 that divides 22374 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 5598, 7464, 11196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22374 and 22392. The biggest common factor number is the GCF number.
So the greatest common factor 22374 and 22392 is 18.

Also check out the Least Common Multiple of 22374 and 22392