What is the Greatest Common Factor of 22338 and 22356?

Greatest common factor (GCF) of 22338 and 22356 is 18.

GCF(22338,22356) = 18

We will now calculate the prime factors of 22338 and 22356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22338 and 22356.

How to find the GCF of 22338 and 22356?

We will first find the prime factorization of 22338 and 22356. After we will calculate the factors of 22338 and 22356 and find the biggest common factor number .

Step-1: Prime Factorization of 22338

Prime factors of 22338 are 2, 3, 17, 73. Prime factorization of 22338 in exponential form is:

22338 = 2¹ × 3² × 17¹ × 73¹

Step-2: Prime Factorization of 22356

Prime factors of 22356 are 2, 3, 23. Prime factorization of 22356 in exponential form is:

22356 = 2² × 3⁵ × 23¹

Step-3: Factors of 22338

List of positive integer factors of 22338 that divides 22338 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 73, 102, 146, 153, 219, 306, 438, 657, 1241, 1314, 2482, 3723, 7446, 11169

Step-4: Factors of 22356

List of positive integer factors of 22356 that divides 22338 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 243, 276, 324, 414, 486, 621, 828, 972, 1242, 1863, 2484, 3726, 5589, 7452, 11178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22338 and 22356. The biggest common factor number is the GCF number.
So the greatest common factor 22338 and 22356 is 18.

Also check out the Least Common Multiple of 22338 and 22356