What is the Greatest Common Factor of 834 and 843?

Greatest common factor (GCF) of 834 and 843 is 3.

GCF(834,843) = 3

We will now calculate the prime factors of 834 and 843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 834 and 843.

How to find the GCF of 834 and 843?

We will first find the prime factorization of 834 and 843. After we will calculate the factors of 834 and 843 and find the biggest common factor number .

Step-1: Prime Factorization of 834

Prime factors of 834 are 2, 3, 139. Prime factorization of 834 in exponential form is:

834 = 2¹ × 3¹ × 139¹

Step-2: Prime Factorization of 843

Prime factors of 843 are 3, 281. Prime factorization of 843 in exponential form is:

843 = 3¹ × 281¹

Step-3: Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417

Step-4: Factors of 843

List of positive integer factors of 843 that divides 834 without a remainder.

1, 3, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 834 and 843. The biggest common factor number is the GCF number.
So the greatest common factor 834 and 843 is 3.

Also check out the Least Common Multiple of 834 and 843