What is the Greatest Common Factor of 896 and 902?

Greatest common factor (GCF) of 896 and 902 is 2.

GCF(896,902) = 2

We will now calculate the prime factors of 896 and 902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 896 and 902.

How to find the GCF of 896 and 902?

We will first find the prime factorization of 896 and 902. After we will calculate the factors of 896 and 902 and find the biggest common factor number .

Step-1: Prime Factorization of 896

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

896 = 2⁷ × 7¹

Step-2: Prime Factorization of 902

Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:

902 = 2¹ × 11¹ × 41¹

Step-3: Factors of 896

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

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

Step-4: Factors of 902

List of positive integer factors of 902 that divides 896 without a remainder.

1, 2, 11, 22, 41, 82, 451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 896 and 902. The biggest common factor number is the GCF number.
So the greatest common factor 896 and 902 is 2.

Also check out the Least Common Multiple of 896 and 902