What is the Greatest Common Factor of 882 and 891?

Greatest common factor (GCF) of 882 and 891 is 9.

GCF(882,891) = 9

We will now calculate the prime factors of 882 and 891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 882 and 891.

How to find the GCF of 882 and 891?

We will first find the prime factorization of 882 and 891. After we will calculate the factors of 882 and 891 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 891

Prime factors of 891 are 3, 11. Prime factorization of 891 in exponential form is:

891 = 3⁴ × 11¹

Step-3: Factors of 882

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

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

Step-4: Factors of 891

List of positive integer factors of 891 that divides 882 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 882 and 891. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 891 is 9.

Also check out the Least Common Multiple of 882 and 891