What is the Greatest Common Factor of 38355 and 38369?

Greatest common factor (GCF) of 38355 and 38369 is 1.

GCF(38355,38369) = 1

We will now calculate the prime factors of 38355 and 38369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38355 and 38369.

How to find the GCF of 38355 and 38369?

We will first find the prime factorization of 38355 and 38369. After we will calculate the factors of 38355 and 38369 and find the biggest common factor number .

Step-1: Prime Factorization of 38355

Prime factors of 38355 are 3, 5, 2557. Prime factorization of 38355 in exponential form is:

38355 = 3¹ × 5¹ × 2557¹

Step-2: Prime Factorization of 38369

Prime factors of 38369 are 17, 37, 61. Prime factorization of 38369 in exponential form is:

38369 = 17¹ × 37¹ × 61¹

Step-3: Factors of 38355

List of positive integer factors of 38355 that divides 38355 without a remainder.

1, 3, 5, 15, 2557, 7671, 12785

Step-4: Factors of 38369

List of positive integer factors of 38369 that divides 38355 without a remainder.

1, 17, 37, 61, 629, 1037, 2257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38355 and 38369. The biggest common factor number is the GCF number.
So the greatest common factor 38355 and 38369 is 1.

Also check out the Least Common Multiple of 38355 and 38369