What is the Greatest Common Factor of 43164 and 43176?

Greatest common factor (GCF) of 43164 and 43176 is 12.

GCF(43164,43176) = 12

We will now calculate the prime factors of 43164 and 43176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43164 and 43176.

How to find the GCF of 43164 and 43176?

We will first find the prime factorization of 43164 and 43176. After we will calculate the factors of 43164 and 43176 and find the biggest common factor number .

Step-1: Prime Factorization of 43164

Prime factors of 43164 are 2, 3, 11, 109. Prime factorization of 43164 in exponential form is:

43164 = 2² × 3² × 11¹ × 109¹

Step-2: Prime Factorization of 43176

Prime factors of 43176 are 2, 3, 7, 257. Prime factorization of 43176 in exponential form is:

43176 = 2³ × 3¹ × 7¹ × 257¹

Step-3: Factors of 43164

List of positive integer factors of 43164 that divides 43164 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 109, 132, 198, 218, 327, 396, 436, 654, 981, 1199, 1308, 1962, 2398, 3597, 3924, 4796, 7194, 10791, 14388, 21582

Step-4: Factors of 43176

List of positive integer factors of 43176 that divides 43164 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 257, 514, 771, 1028, 1542, 1799, 2056, 3084, 3598, 5397, 6168, 7196, 10794, 14392, 21588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43164 and 43176. The biggest common factor number is the GCF number.
So the greatest common factor 43164 and 43176 is 12.

Also check out the Least Common Multiple of 43164 and 43176