What is the Greatest Common Factor of 854 and 866?

Greatest common factor (GCF) of 854 and 866 is 2.

GCF(854,866) = 2

We will now calculate the prime factors of 854 and 866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 854 and 866.

How to find the GCF of 854 and 866?

We will first find the prime factorization of 854 and 866. After we will calculate the factors of 854 and 866 and find the biggest common factor number .

Step-1: Prime Factorization of 854

Prime factors of 854 are 2, 7, 61. Prime factorization of 854 in exponential form is:

854 = 2¹ × 7¹ × 61¹

Step-2: Prime Factorization of 866

Prime factors of 866 are 2, 433. Prime factorization of 866 in exponential form is:

866 = 2¹ × 433¹

Step-3: Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427

Step-4: Factors of 866

List of positive integer factors of 866 that divides 854 without a remainder.

1, 2, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 854 and 866. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 866 is 2.

Also check out the Least Common Multiple of 854 and 866