What is the Greatest Common Factor of 43152 and 43156?

Greatest common factor (GCF) of 43152 and 43156 is 4.

GCF(43152,43156) = 4

We will now calculate the prime factors of 43152 and 43156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43152 and 43156.

How to find the GCF of 43152 and 43156?

We will first find the prime factorization of 43152 and 43156. After we will calculate the factors of 43152 and 43156 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 43156

Prime factors of 43156 are 2, 10789. Prime factorization of 43156 in exponential form is:

43156 = 2² × 10789¹

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 43156

List of positive integer factors of 43156 that divides 43152 without a remainder.

1, 2, 4, 10789, 21578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43152 and 43156. The biggest common factor number is the GCF number.
So the greatest common factor 43152 and 43156 is 4.

Also check out the Least Common Multiple of 43152 and 43156