What is the Greatest Common Factor of 43080 and 43094?

Greatest common factor (GCF) of 43080 and 43094 is 2.

GCF(43080,43094) = 2

We will now calculate the prime factors of 43080 and 43094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43080 and 43094.

How to find the GCF of 43080 and 43094?

We will first find the prime factorization of 43080 and 43094. After we will calculate the factors of 43080 and 43094 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 43094

Prime factors of 43094 are 2, 29, 743. Prime factorization of 43094 in exponential form is:

43094 = 2¹ × 29¹ × 743¹

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 43094

List of positive integer factors of 43094 that divides 43080 without a remainder.

1, 2, 29, 58, 743, 1486, 21547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43080 and 43094. The biggest common factor number is the GCF number.
So the greatest common factor 43080 and 43094 is 2.

Also check out the Least Common Multiple of 43080 and 43094