What is the Greatest Common Factor of 882 and 894?

Greatest common factor (GCF) of 882 and 894 is 6.

GCF(882,894) = 6

We will now calculate the prime factors of 882 and 894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 882 and 894.

How to find the GCF of 882 and 894?

We will first find the prime factorization of 882 and 894. After we will calculate the factors of 882 and 894 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 894

Prime factors of 894 are 2, 3, 149. Prime factorization of 894 in exponential form is:

894 = 2¹ × 3¹ × 149¹

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 894

List of positive integer factors of 894 that divides 882 without a remainder.

1, 2, 3, 6, 149, 298, 447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 882 and 894. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 894 is 6.

Also check out the Least Common Multiple of 882 and 894