What is the Greatest Common Factor of 43152 and 43170?

Greatest common factor (GCF) of 43152 and 43170 is 6.

GCF(43152,43170) = 6

We will now calculate the prime factors of 43152 and 43170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43152 and 43170.

How to find the GCF of 43152 and 43170?

We will first find the prime factorization of 43152 and 43170. After we will calculate the factors of 43152 and 43170 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 43170

Prime factors of 43170 are 2, 3, 5, 1439. Prime factorization of 43170 in exponential form is:

43170 = 2¹ × 3¹ × 5¹ × 1439¹

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 43170

List of positive integer factors of 43170 that divides 43152 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1439, 2878, 4317, 7195, 8634, 14390, 21585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43152 and 43170. The biggest common factor number is the GCF number.
So the greatest common factor 43152 and 43170 is 6.

Also check out the Least Common Multiple of 43152 and 43170