What is the Greatest Common Factor of 867 and 884?

Greatest common factor (GCF) of 867 and 884 is 17.

GCF(867,884) = 17

We will now calculate the prime factors of 867 and 884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 867 and 884.

How to find the GCF of 867 and 884?

We will first find the prime factorization of 867 and 884. After we will calculate the factors of 867 and 884 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 884

Prime factors of 884 are 2, 13, 17. Prime factorization of 884 in exponential form is:

884 = 2² × 13¹ × 17¹

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 884

List of positive integer factors of 884 that divides 867 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 867 and 884. The biggest common factor number is the GCF number.
So the greatest common factor 867 and 884 is 17.

Also check out the Least Common Multiple of 867 and 884