What is the Greatest Common Factor of 38309 and 38313?

Greatest common factor (GCF) of 38309 and 38313 is 1.

GCF(38309,38313) = 1

We will now calculate the prime factors of 38309 and 38313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38309 and 38313.

How to find the GCF of 38309 and 38313?

We will first find the prime factorization of 38309 and 38313. After we will calculate the factors of 38309 and 38313 and find the biggest common factor number .

Step-1: Prime Factorization of 38309

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

38309 = 29¹ × 1321¹

Step-2: Prime Factorization of 38313

Prime factors of 38313 are 3, 11, 43. Prime factorization of 38313 in exponential form is:

38313 = 3⁴ × 11¹ × 43¹

Step-3: Factors of 38309

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

1, 29, 1321

Step-4: Factors of 38313

List of positive integer factors of 38313 that divides 38309 without a remainder.

1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38309 and 38313. The biggest common factor number is the GCF number.
So the greatest common factor 38309 and 38313 is 1.

Also check out the Least Common Multiple of 38309 and 38313