What is the Greatest Common Factor of 43047 and 43059?

Greatest common factor (GCF) of 43047 and 43059 is 3.

GCF(43047,43059) = 3

We will now calculate the prime factors of 43047 and 43059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43047 and 43059.

How to find the GCF of 43047 and 43059?

We will first find the prime factorization of 43047 and 43059. After we will calculate the factors of 43047 and 43059 and find the biggest common factor number .

Step-1: Prime Factorization of 43047

Prime factors of 43047 are 3, 4783. Prime factorization of 43047 in exponential form is:

43047 = 3² × 4783¹

Step-2: Prime Factorization of 43059

Prime factors of 43059 are 3, 31, 463. Prime factorization of 43059 in exponential form is:

43059 = 3¹ × 31¹ × 463¹

Step-3: Factors of 43047

List of positive integer factors of 43047 that divides 43047 without a remainder.

1, 3, 9, 4783, 14349

Step-4: Factors of 43059

List of positive integer factors of 43059 that divides 43047 without a remainder.

1, 3, 31, 93, 463, 1389, 14353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43047 and 43059. The biggest common factor number is the GCF number.
So the greatest common factor 43047 and 43059 is 3.

Also check out the Least Common Multiple of 43047 and 43059