What is the Greatest Common Factor of 867 and 873?

Greatest common factor (GCF) of 867 and 873 is 3.

GCF(867,873) = 3

We will now calculate the prime factors of 867 and 873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 867 and 873.

How to find the GCF of 867 and 873?

We will first find the prime factorization of 867 and 873. After we will calculate the factors of 867 and 873 and find the biggest common factor number .

Step-1: Prime Factorization of 867

Prime factors of 867 are 3, 17. Prime factorization of 867 in exponential form is:

867 = 3¹ × 17²

Step-2: Prime Factorization of 873

Prime factors of 873 are 3, 97. Prime factorization of 873 in exponential form is:

873 = 3² × 97¹

Step-3: Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289

Step-4: Factors of 873

List of positive integer factors of 873 that divides 867 without a remainder.

1, 3, 9, 97, 291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 867 and 873. The biggest common factor number is the GCF number.
So the greatest common factor 867 and 873 is 3.

Also check out the Least Common Multiple of 867 and 873