What is the Greatest Common Factor of 22164 and 22176?

Greatest common factor (GCF) of 22164 and 22176 is 12.

GCF(22164,22176) = 12

We will now calculate the prime factors of 22164 and 22176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22164 and 22176.

How to find the GCF of 22164 and 22176?

We will first find the prime factorization of 22164 and 22176. After we will calculate the factors of 22164 and 22176 and find the biggest common factor number .

Step-1: Prime Factorization of 22164

Prime factors of 22164 are 2, 3, 1847. Prime factorization of 22164 in exponential form is:

22164 = 2² × 3¹ × 1847¹

Step-2: 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-3: Factors of 22164

List of positive integer factors of 22164 that divides 22164 without a remainder.

1, 2, 3, 4, 6, 12, 1847, 3694, 5541, 7388, 11082

Step-4: Factors of 22176

List of positive integer factors of 22176 that divides 22164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22164 and 22176. The biggest common factor number is the GCF number.
So the greatest common factor 22164 and 22176 is 12.

Also check out the Least Common Multiple of 22164 and 22176