What is the Greatest Common Factor of 849 and 855?

Greatest common factor (GCF) of 849 and 855 is 3.

GCF(849,855) = 3

We will now calculate the prime factors of 849 and 855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 849 and 855.

How to find the GCF of 849 and 855?

We will first find the prime factorization of 849 and 855. After we will calculate the factors of 849 and 855 and find the biggest common factor number .

Step-1: Prime Factorization of 849

Prime factors of 849 are 3, 283. Prime factorization of 849 in exponential form is:

849 = 3¹ × 283¹

Step-2: Prime Factorization of 855

Prime factors of 855 are 3, 5, 19. Prime factorization of 855 in exponential form is:

855 = 3² × 5¹ × 19¹

Step-3: Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283

Step-4: Factors of 855

List of positive integer factors of 855 that divides 849 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 849 and 855. The biggest common factor number is the GCF number.
So the greatest common factor 849 and 855 is 3.

Also check out the Least Common Multiple of 849 and 855