What is the Greatest Common Factor of 873 and 882?

Greatest common factor (GCF) of 873 and 882 is 9.

GCF(873,882) = 9

We will now calculate the prime factors of 873 and 882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 873 and 882.

How to find the GCF of 873 and 882?

We will first find the prime factorization of 873 and 882. After we will calculate the factors of 873 and 882 and find the biggest common factor number .

Step-1: Prime Factorization of 873

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

873 = 3² × 97¹

Step-2: Prime Factorization of 882

Prime factors of 882 are 2, 3, 7. Prime factorization of 882 in exponential form is:

882 = 2¹ × 3² × 7²

Step-3: Factors of 873

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

1, 3, 9, 97, 291

Step-4: Factors of 882

List of positive integer factors of 882 that divides 873 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 873 and 882. The biggest common factor number is the GCF number.
So the greatest common factor 873 and 882 is 9.

Also check out the Least Common Multiple of 873 and 882