What is the Greatest Common Factor of 43152 and 43159?

Greatest common factor (GCF) of 43152 and 43159 is 1.

GCF(43152,43159) = 1

We will now calculate the prime factors of 43152 and 43159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43152 and 43159.

How to find the GCF of 43152 and 43159?

We will first find the prime factorization of 43152 and 43159. After we will calculate the factors of 43152 and 43159 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 43159

Prime factors of 43159 are 43159. Prime factorization of 43159 in exponential form is:

43159 = 43159¹

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 43159

List of positive integer factors of 43159 that divides 43152 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43152 and 43159. The biggest common factor number is the GCF number.
So the greatest common factor 43152 and 43159 is 1.

Also check out the Least Common Multiple of 43152 and 43159