What is the Greatest Common Factor of 43140 and 43152?

Greatest common factor (GCF) of 43140 and 43152 is 12.

GCF(43140,43152) = 12

We will now calculate the prime factors of 43140 and 43152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43140 and 43152.

How to find the GCF of 43140 and 43152?

We will first find the prime factorization of 43140 and 43152. After we will calculate the factors of 43140 and 43152 and find the biggest common factor number .

Step-1: Prime Factorization of 43140

Prime factors of 43140 are 2, 3, 5, 719. Prime factorization of 43140 in exponential form is:

43140 = 2² × 3¹ × 5¹ × 719¹

Step-2: 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-3: Factors of 43140

List of positive integer factors of 43140 that divides 43140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 719, 1438, 2157, 2876, 3595, 4314, 7190, 8628, 10785, 14380, 21570

Step-4: Factors of 43152

List of positive integer factors of 43152 that divides 43140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43140 and 43152. The biggest common factor number is the GCF number.
So the greatest common factor 43140 and 43152 is 12.

Also check out the Least Common Multiple of 43140 and 43152