What is the Greatest Common Factor of 22176 and 22196?

Greatest common factor (GCF) of 22176 and 22196 is 4.

GCF(22176,22196) = 4

We will now calculate the prime factors of 22176 and 22196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22176 and 22196.

How to find the GCF of 22176 and 22196?

We will first find the prime factorization of 22176 and 22196. After we will calculate the factors of 22176 and 22196 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 22196

Prime factors of 22196 are 2, 31, 179. Prime factorization of 22196 in exponential form is:

22196 = 2² × 31¹ × 179¹

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 22196

List of positive integer factors of 22196 that divides 22176 without a remainder.

1, 2, 4, 31, 62, 124, 179, 358, 716, 5549, 11098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22176 and 22196. The biggest common factor number is the GCF number.
So the greatest common factor 22176 and 22196 is 4.

Also check out the Least Common Multiple of 22176 and 22196