What is the Greatest Common Factor of 21148 and 21168?

Greatest common factor (GCF) of 21148 and 21168 is 4.

GCF(21148,21168) = 4

We will now calculate the prime factors of 21148 and 21168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21148 and 21168.

How to find the GCF of 21148 and 21168?

We will first find the prime factorization of 21148 and 21168. After we will calculate the factors of 21148 and 21168 and find the biggest common factor number .

Step-1: Prime Factorization of 21148

Prime factors of 21148 are 2, 17, 311. Prime factorization of 21148 in exponential form is:

21148 = 2² × 17¹ × 311¹

Step-2: 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-3: Factors of 21148

List of positive integer factors of 21148 that divides 21148 without a remainder.

1, 2, 4, 17, 34, 68, 311, 622, 1244, 5287, 10574

Step-4: Factors of 21168

List of positive integer factors of 21168 that divides 21148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21148 and 21168. The biggest common factor number is the GCF number.
So the greatest common factor 21148 and 21168 is 4.

Also check out the Least Common Multiple of 21148 and 21168