What is the Greatest Common Factor of 43152 and 43172?

Greatest common factor (GCF) of 43152 and 43172 is 4.

GCF(43152,43172) = 4

We will now calculate the prime factors of 43152 and 43172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43152 and 43172.

How to find the GCF of 43152 and 43172?

We will first find the prime factorization of 43152 and 43172. After we will calculate the factors of 43152 and 43172 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 43172

Prime factors of 43172 are 2, 43, 251. Prime factorization of 43172 in exponential form is:

43172 = 2² × 43¹ × 251¹

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 43172

List of positive integer factors of 43172 that divides 43152 without a remainder.

1, 2, 4, 43, 86, 172, 251, 502, 1004, 10793, 21586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43152 and 43172. The biggest common factor number is the GCF number.
So the greatest common factor 43152 and 43172 is 4.

Also check out the Least Common Multiple of 43152 and 43172