What is the Greatest Common Factor of 43307 and 43325?

Greatest common factor (GCF) of 43307 and 43325 is 1.

GCF(43307,43325) = 1

We will now calculate the prime factors of 43307 and 43325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43307 and 43325.

How to find the GCF of 43307 and 43325?

We will first find the prime factorization of 43307 and 43325. After we will calculate the factors of 43307 and 43325 and find the biggest common factor number .

Step-1: Prime Factorization of 43307

Prime factors of 43307 are 11, 31, 127. Prime factorization of 43307 in exponential form is:

43307 = 11¹ × 31¹ × 127¹

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 43307

List of positive integer factors of 43307 that divides 43307 without a remainder.

1, 11, 31, 127, 341, 1397, 3937

Step-4: Factors of 43325

List of positive integer factors of 43325 that divides 43307 without a remainder.

1, 5, 25, 1733, 8665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43307 and 43325. The biggest common factor number is the GCF number.
So the greatest common factor 43307 and 43325 is 1.

Also check out the Least Common Multiple of 43307 and 43325