What is the Greatest Common Factor of 43309 and 43325?

Greatest common factor (GCF) of 43309 and 43325 is 1.

GCF(43309,43325) = 1

We will now calculate the prime factors of 43309 and 43325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43309 and 43325.

How to find the GCF of 43309 and 43325?

We will first find the prime factorization of 43309 and 43325. After we will calculate the factors of 43309 and 43325 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 43325

Prime factors of 43325 are 5, 1733. Prime factorization of 43325 in exponential form is:

43325 = 5² × 1733¹

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 43325

List of positive integer factors of 43325 that divides 43309 without a remainder.

1, 5, 25, 1733, 8665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43309 and 43325. The biggest common factor number is the GCF number.
So the greatest common factor 43309 and 43325 is 1.

Also check out the Least Common Multiple of 43309 and 43325