What is the Greatest Common Factor of 43152 and 43164?

Greatest common factor (GCF) of 43152 and 43164 is 12.

GCF(43152,43164) = 12

We will now calculate the prime factors of 43152 and 43164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43152 and 43164.

How to find the GCF of 43152 and 43164?

We will first find the prime factorization of 43152 and 43164. After we will calculate the factors of 43152 and 43164 and find the biggest common factor number .

Step-1: Prime Factorization of 43152

Prime factors of 43152 are 2, 3, 29, 31. Prime factorization of 43152 in exponential form is:

43152 = 2⁴ × 3¹ × 29¹ × 31¹

Step-2: 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-3: Factors of 43152

List of positive integer factors of 43152 that divides 43152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 31, 48, 58, 62, 87, 93, 116, 124, 174, 186, 232, 248, 348, 372, 464, 496, 696, 744, 899, 1392, 1488, 1798, 2697, 3596, 5394, 7192, 10788, 14384, 21576

Step-4: Factors of 43164

List of positive integer factors of 43164 that divides 43152 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43152 and 43164. The biggest common factor number is the GCF number.
So the greatest common factor 43152 and 43164 is 12.

Also check out the Least Common Multiple of 43152 and 43164