What is the Greatest Common Factor of 854 and 863?

Greatest common factor (GCF) of 854 and 863 is 1.

GCF(854,863) = 1

We will now calculate the prime factors of 854 and 863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 854 and 863.

How to find the GCF of 854 and 863?

We will first find the prime factorization of 854 and 863. After we will calculate the factors of 854 and 863 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 863

Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:

863 = 863¹

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 863

List of positive integer factors of 863 that divides 854 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 854 and 863. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 863 is 1.

Also check out the Least Common Multiple of 854 and 863