What is the Greatest Common Factor of 856 and 874?

Greatest common factor (GCF) of 856 and 874 is 2.

GCF(856,874) = 2

We will now calculate the prime factors of 856 and 874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 856 and 874.

How to find the GCF of 856 and 874?

We will first find the prime factorization of 856 and 874. After we will calculate the factors of 856 and 874 and find the biggest common factor number .

Step-1: Prime Factorization of 856

Prime factors of 856 are 2, 107. Prime factorization of 856 in exponential form is:

856 = 2³ × 107¹

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 856

List of positive integer factors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428

Step-4: Factors of 874

List of positive integer factors of 874 that divides 856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 856 and 874. The biggest common factor number is the GCF number.
So the greatest common factor 856 and 874 is 2.

Also check out the Least Common Multiple of 856 and 874