What is the Greatest Common Factor of 43309 and 43327?

Greatest common factor (GCF) of 43309 and 43327 is 1.

GCF(43309,43327) = 1

We will now calculate the prime factors of 43309 and 43327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43309 and 43327.

How to find the GCF of 43309 and 43327?

We will first find the prime factorization of 43309 and 43327. After we will calculate the factors of 43309 and 43327 and find the biggest common factor number .

Step-1: Prime Factorization of 43309

Prime factors of 43309 are 7, 23, 269. Prime factorization of 43309 in exponential form is:

43309 = 7¹ × 23¹ × 269¹

Step-2: Prime Factorization of 43327

Prime factors of 43327 are 37, 1171. Prime factorization of 43327 in exponential form is:

43327 = 37¹ × 1171¹

Step-3: Factors of 43309

List of positive integer factors of 43309 that divides 43309 without a remainder.

1, 7, 23, 161, 269, 1883, 6187

Step-4: Factors of 43327

List of positive integer factors of 43327 that divides 43309 without a remainder.

1, 37, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43309 and 43327. The biggest common factor number is the GCF number.
So the greatest common factor 43309 and 43327 is 1.

Also check out the Least Common Multiple of 43309 and 43327