What is the Greatest Common Factor of 43164 and 43184?

Greatest common factor (GCF) of 43164 and 43184 is 4.

GCF(43164,43184) = 4

We will now calculate the prime factors of 43164 and 43184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43164 and 43184.

How to find the GCF of 43164 and 43184?

We will first find the prime factorization of 43164 and 43184. After we will calculate the factors of 43164 and 43184 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 43184

Prime factors of 43184 are 2, 2699. Prime factorization of 43184 in exponential form is:

43184 = 2⁴ × 2699¹

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 43184

List of positive integer factors of 43184 that divides 43164 without a remainder.

1, 2, 4, 8, 16, 2699, 5398, 10796, 21592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43164 and 43184. The biggest common factor number is the GCF number.
So the greatest common factor 43164 and 43184 is 4.

Also check out the Least Common Multiple of 43164 and 43184