What is the Greatest Common Factor of 21168 and 21176?

Greatest common factor (GCF) of 21168 and 21176 is 8.

GCF(21168,21176) = 8

We will now calculate the prime factors of 21168 and 21176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21168 and 21176.

How to find the GCF of 21168 and 21176?

We will first find the prime factorization of 21168 and 21176. After we will calculate the factors of 21168 and 21176 and find the biggest common factor number .

Step-1: Prime Factorization of 21168

Prime factors of 21168 are 2, 3, 7. Prime factorization of 21168 in exponential form is:

21168 = 2⁴ × 3³ × 7²

Step-2: Prime Factorization of 21176

Prime factors of 21176 are 2, 2647. Prime factorization of 21176 in exponential form is:

21176 = 2³ × 2647¹

Step-3: Factors of 21168

List of positive integer factors of 21168 that divides 21168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 49, 54, 56, 63, 72, 84, 98, 108, 112, 126, 144, 147, 168, 189, 196, 216, 252, 294, 336, 378, 392, 432, 441, 504, 588, 756, 784, 882, 1008, 1176, 1323, 1512, 1764, 2352, 2646, 3024, 3528, 5292, 7056, 10584

Step-4: Factors of 21176

List of positive integer factors of 21176 that divides 21168 without a remainder.

1, 2, 4, 8, 2647, 5294, 10588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21168 and 21176. The biggest common factor number is the GCF number.
So the greatest common factor 21168 and 21176 is 8.

Also check out the Least Common Multiple of 21168 and 21176