What is the Greatest Common Factor of 8355 and 8361?

Greatest common factor (GCF) of 8355 and 8361 is 3.

GCF(8355,8361) = 3

We will now calculate the prime factors of 8355 and 8361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8355 and 8361.

How to find the GCF of 8355 and 8361?

We will first find the prime factorization of 8355 and 8361. After we will calculate the factors of 8355 and 8361 and find the biggest common factor number .

Step-1: Prime Factorization of 8355

Prime factors of 8355 are 3, 5, 557. Prime factorization of 8355 in exponential form is:

8355 = 3¹ × 5¹ × 557¹

Step-2: Prime Factorization of 8361

Prime factors of 8361 are 3, 929. Prime factorization of 8361 in exponential form is:

8361 = 3² × 929¹

Step-3: Factors of 8355

List of positive integer factors of 8355 that divides 8355 without a remainder.

1, 3, 5, 15, 557, 1671, 2785

Step-4: Factors of 8361

List of positive integer factors of 8361 that divides 8355 without a remainder.

1, 3, 9, 929, 2787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8355 and 8361. The biggest common factor number is the GCF number.
So the greatest common factor 8355 and 8361 is 3.

Also check out the Least Common Multiple of 8355 and 8361