What is the Greatest Common Factor of 22176 and 22194?

Greatest common factor (GCF) of 22176 and 22194 is 18.

GCF(22176,22194) = 18

We will now calculate the prime factors of 22176 and 22194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22176 and 22194.

How to find the GCF of 22176 and 22194?

We will first find the prime factorization of 22176 and 22194. After we will calculate the factors of 22176 and 22194 and find the biggest common factor number .

Step-1: Prime Factorization of 22176

Prime factors of 22176 are 2, 3, 7, 11. Prime factorization of 22176 in exponential form is:

22176 = 2⁵ × 3² × 7¹ × 11¹

Step-2: Prime Factorization of 22194

Prime factors of 22194 are 2, 3, 137. Prime factorization of 22194 in exponential form is:

22194 = 2¹ × 3⁴ × 137¹

Step-3: Factors of 22176

List of positive integer factors of 22176 that divides 22176 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 32, 33, 36, 42, 44, 48, 56, 63, 66, 72, 77, 84, 88, 96, 99, 112, 126, 132, 144, 154, 168, 176, 198, 224, 231, 252, 264, 288, 308, 336, 352, 396, 462, 504, 528, 616, 672, 693, 792, 924, 1008, 1056, 1232, 1386, 1584, 1848, 2016, 2464, 2772, 3168, 3696, 5544, 7392, 11088

Step-4: Factors of 22194

List of positive integer factors of 22194 that divides 22176 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 137, 162, 274, 411, 822, 1233, 2466, 3699, 7398, 11097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22176 and 22194. The biggest common factor number is the GCF number.
So the greatest common factor 22176 and 22194 is 18.

Also check out the Least Common Multiple of 22176 and 22194