What is the Greatest Common Factor of 855 and 874?

Greatest common factor (GCF) of 855 and 874 is 19.

GCF(855,874) = 19

We will now calculate the prime factors of 855 and 874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 855 and 874.

How to find the GCF of 855 and 874?

We will first find the prime factorization of 855 and 874. After we will calculate the factors of 855 and 874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 874

Prime factors of 874 are 2, 19, 23. Prime factorization of 874 in exponential form is:

874 = 2¹ × 19¹ × 23¹

Step-3: Factors of 855

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

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

Step-4: Factors of 874

List of positive integer factors of 874 that divides 855 without a remainder.

1, 2, 19, 23, 38, 46, 437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 855 and 874. The biggest common factor number is the GCF number.
So the greatest common factor 855 and 874 is 19.

Also check out the Least Common Multiple of 855 and 874