What is the Greatest Common Factor of 21164 and 21168?

Greatest common factor (GCF) of 21164 and 21168 is 4.

GCF(21164,21168) = 4

We will now calculate the prime factors of 21164 and 21168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21164 and 21168.

How to find the GCF of 21164 and 21168?

We will first find the prime factorization of 21164 and 21168. After we will calculate the factors of 21164 and 21168 and find the biggest common factor number .

Step-1: Prime Factorization of 21164

Prime factors of 21164 are 2, 11, 13, 37. Prime factorization of 21164 in exponential form is:

21164 = 2² × 11¹ × 13¹ × 37¹

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 21164

List of positive integer factors of 21164 that divides 21164 without a remainder.

1, 2, 4, 11, 13, 22, 26, 37, 44, 52, 74, 143, 148, 286, 407, 481, 572, 814, 962, 1628, 1924, 5291, 10582

Step-4: Factors of 21168

List of positive integer factors of 21168 that divides 21164 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 21164 and 21168. The biggest common factor number is the GCF number.
So the greatest common factor 21164 and 21168 is 4.

Also check out the Least Common Multiple of 21164 and 21168