What is the Greatest Common Factor of 21168 and 21182?

Greatest common factor (GCF) of 21168 and 21182 is 14.

GCF(21168,21182) = 14

We will now calculate the prime factors of 21168 and 21182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21168 and 21182.

How to find the GCF of 21168 and 21182?

We will first find the prime factorization of 21168 and 21182. After we will calculate the factors of 21168 and 21182 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 21182

Prime factors of 21182 are 2, 7, 17, 89. Prime factorization of 21182 in exponential form is:

21182 = 2¹ × 7¹ × 17¹ × 89¹

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 21182

List of positive integer factors of 21182 that divides 21168 without a remainder.

1, 2, 7, 14, 17, 34, 89, 119, 178, 238, 623, 1246, 1513, 3026, 10591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21168 and 21182. The biggest common factor number is the GCF number.
So the greatest common factor 21168 and 21182 is 14.

Also check out the Least Common Multiple of 21168 and 21182