What is the Greatest Common Factor of 43164 and 43179?

Greatest common factor (GCF) of 43164 and 43179 is 3.

GCF(43164,43179) = 3

We will now calculate the prime factors of 43164 and 43179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43164 and 43179.

How to find the GCF of 43164 and 43179?

We will first find the prime factorization of 43164 and 43179. After we will calculate the factors of 43164 and 43179 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 43179

Prime factors of 43179 are 3, 37, 389. Prime factorization of 43179 in exponential form is:

43179 = 3¹ × 37¹ × 389¹

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 43179

List of positive integer factors of 43179 that divides 43164 without a remainder.

1, 3, 37, 111, 389, 1167, 14393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43164 and 43179. The biggest common factor number is the GCF number.
So the greatest common factor 43164 and 43179 is 3.

Also check out the Least Common Multiple of 43164 and 43179