What is the Greatest Common Factor of 22356 and 22374?

Greatest common factor (GCF) of 22356 and 22374 is 18.

GCF(22356,22374) = 18

We will now calculate the prime factors of 22356 and 22374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22356 and 22374.

How to find the GCF of 22356 and 22374?

We will first find the prime factorization of 22356 and 22374. After we will calculate the factors of 22356 and 22374 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 22356

List of positive integer factors of 22356 that divides 22356 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

Step-4: Factors of 22374

List of positive integer factors of 22374 that divides 22356 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22356 and 22374. The biggest common factor number is the GCF number.
So the greatest common factor 22356 and 22374 is 18.

Also check out the Least Common Multiple of 22356 and 22374