What is the Greatest Common Factor of 882 and 896?

Greatest common factor (GCF) of 882 and 896 is 14.

GCF(882,896) = 14

We will now calculate the prime factors of 882 and 896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 882 and 896.

How to find the GCF of 882 and 896?

We will first find the prime factorization of 882 and 896. After we will calculate the factors of 882 and 896 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 896

Prime factors of 896 are 2, 7. Prime factorization of 896 in exponential form is:

896 = 2⁷ × 7¹

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 896

List of positive integer factors of 896 that divides 882 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 882 and 896. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 896 is 14.

Also check out the Least Common Multiple of 882 and 896