What is the Greatest Common Factor of 21168 and 21175?

Greatest common factor (GCF) of 21168 and 21175 is 7.

GCF(21168,21175) = 7

We will now calculate the prime factors of 21168 and 21175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21168 and 21175.

How to find the GCF of 21168 and 21175?

We will first find the prime factorization of 21168 and 21175. After we will calculate the factors of 21168 and 21175 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 21175

Prime factors of 21175 are 5, 7, 11. Prime factorization of 21175 in exponential form is:

21175 = 5² × 7¹ × 11²

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 21175

List of positive integer factors of 21175 that divides 21168 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 121, 175, 275, 385, 605, 847, 1925, 3025, 4235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21168 and 21175. The biggest common factor number is the GCF number.
So the greatest common factor 21168 and 21175 is 7.

Also check out the Least Common Multiple of 21168 and 21175