What is the Greatest Common Factor of 43209 and 43215?

Greatest common factor (GCF) of 43209 and 43215 is 3.

GCF(43209,43215) = 3

We will now calculate the prime factors of 43209 and 43215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43209 and 43215.

How to find the GCF of 43209 and 43215?

We will first find the prime factorization of 43209 and 43215. After we will calculate the factors of 43209 and 43215 and find the biggest common factor number .

Step-1: Prime Factorization of 43209

Prime factors of 43209 are 3, 4801. Prime factorization of 43209 in exponential form is:

43209 = 3² × 4801¹

Step-2: Prime Factorization of 43215

Prime factors of 43215 are 3, 5, 43, 67. Prime factorization of 43215 in exponential form is:

43215 = 3¹ × 5¹ × 43¹ × 67¹

Step-3: Factors of 43209

List of positive integer factors of 43209 that divides 43209 without a remainder.

1, 3, 9, 4801, 14403

Step-4: Factors of 43215

List of positive integer factors of 43215 that divides 43209 without a remainder.

1, 3, 5, 15, 43, 67, 129, 201, 215, 335, 645, 1005, 2881, 8643, 14405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43209 and 43215. The biggest common factor number is the GCF number.
So the greatest common factor 43209 and 43215 is 3.

Also check out the Least Common Multiple of 43209 and 43215