What is the Greatest Common Factor of 38355 and 38361?

Greatest common factor (GCF) of 38355 and 38361 is 3.

GCF(38355,38361) = 3

We will now calculate the prime factors of 38355 and 38361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38355 and 38361.

How to find the GCF of 38355 and 38361?

We will first find the prime factorization of 38355 and 38361. After we will calculate the factors of 38355 and 38361 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 38361

Prime factors of 38361 are 3, 19, 673. Prime factorization of 38361 in exponential form is:

38361 = 3¹ × 19¹ × 673¹

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 38361

List of positive integer factors of 38361 that divides 38355 without a remainder.

1, 3, 19, 57, 673, 2019, 12787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38355 and 38361. The biggest common factor number is the GCF number.
So the greatest common factor 38355 and 38361 is 3.

Also check out the Least Common Multiple of 38355 and 38361