What is the Greatest Common Factor of 22176 and 22184?

Greatest common factor (GCF) of 22176 and 22184 is 8.

GCF(22176,22184) = 8

We will now calculate the prime factors of 22176 and 22184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22176 and 22184.

How to find the GCF of 22176 and 22184?

We will first find the prime factorization of 22176 and 22184. After we will calculate the factors of 22176 and 22184 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 22184

Prime factors of 22184 are 2, 47, 59. Prime factorization of 22184 in exponential form is:

22184 = 2³ × 47¹ × 59¹

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 22184

List of positive integer factors of 22184 that divides 22176 without a remainder.

1, 2, 4, 8, 47, 59, 94, 118, 188, 236, 376, 472, 2773, 5546, 11092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22176 and 22184. The biggest common factor number is the GCF number.
So the greatest common factor 22176 and 22184 is 8.

Also check out the Least Common Multiple of 22176 and 22184