What is the Greatest Common Factor of 21150 and 21168?

Greatest common factor (GCF) of 21150 and 21168 is 18.

GCF(21150,21168) = 18

We will now calculate the prime factors of 21150 and 21168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21150 and 21168.

How to find the GCF of 21150 and 21168?

We will first find the prime factorization of 21150 and 21168. After we will calculate the factors of 21150 and 21168 and find the biggest common factor number .

Step-1: Prime Factorization of 21150

Prime factors of 21150 are 2, 3, 5, 47. Prime factorization of 21150 in exponential form is:

21150 = 2¹ × 3² × 5² × 47¹

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 21150

List of positive integer factors of 21150 that divides 21150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 47, 50, 75, 90, 94, 141, 150, 225, 235, 282, 423, 450, 470, 705, 846, 1175, 1410, 2115, 2350, 3525, 4230, 7050, 10575

Step-4: Factors of 21168

List of positive integer factors of 21168 that divides 21150 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 21150 and 21168. The biggest common factor number is the GCF number.
So the greatest common factor 21150 and 21168 is 18.

Also check out the Least Common Multiple of 21150 and 21168