What is the Greatest Common Factor of 43080 and 43086?

Greatest common factor (GCF) of 43080 and 43086 is 6.

GCF(43080,43086) = 6

We will now calculate the prime factors of 43080 and 43086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43080 and 43086.

How to find the GCF of 43080 and 43086?

We will first find the prime factorization of 43080 and 43086. After we will calculate the factors of 43080 and 43086 and find the biggest common factor number .

Step-1: Prime Factorization of 43080

Prime factors of 43080 are 2, 3, 5, 359. Prime factorization of 43080 in exponential form is:

43080 = 2³ × 3¹ × 5¹ × 359¹

Step-2: Prime Factorization of 43086

Prime factors of 43086 are 2, 3, 43, 167. Prime factorization of 43086 in exponential form is:

43086 = 2¹ × 3¹ × 43¹ × 167¹

Step-3: Factors of 43080

List of positive integer factors of 43080 that divides 43080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 359, 718, 1077, 1436, 1795, 2154, 2872, 3590, 4308, 5385, 7180, 8616, 10770, 14360, 21540

Step-4: Factors of 43086

List of positive integer factors of 43086 that divides 43080 without a remainder.

1, 2, 3, 6, 43, 86, 129, 167, 258, 334, 501, 1002, 7181, 14362, 21543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43080 and 43086. The biggest common factor number is the GCF number.
So the greatest common factor 43080 and 43086 is 6.

Also check out the Least Common Multiple of 43080 and 43086