What is the Greatest Common Factor of 38301 and 38309?

Greatest common factor (GCF) of 38301 and 38309 is 1.

GCF(38301,38309) = 1

We will now calculate the prime factors of 38301 and 38309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38301 and 38309.

How to find the GCF of 38301 and 38309?

We will first find the prime factorization of 38301 and 38309. After we will calculate the factors of 38301 and 38309 and find the biggest common factor number .

Step-1: Prime Factorization of 38301

Prime factors of 38301 are 3, 17, 751. Prime factorization of 38301 in exponential form is:

38301 = 3¹ × 17¹ × 751¹

Step-2: Prime Factorization of 38309

Prime factors of 38309 are 29, 1321. Prime factorization of 38309 in exponential form is:

38309 = 29¹ × 1321¹

Step-3: Factors of 38301

List of positive integer factors of 38301 that divides 38301 without a remainder.

1, 3, 17, 51, 751, 2253, 12767

Step-4: Factors of 38309

List of positive integer factors of 38309 that divides 38301 without a remainder.

1, 29, 1321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38301 and 38309. The biggest common factor number is the GCF number.
So the greatest common factor 38301 and 38309 is 1.

Also check out the Least Common Multiple of 38301 and 38309