What is the Greatest Common Factor of 10912 and 10928?

Greatest common factor (GCF) of 10912 and 10928 is 16.

GCF(10912,10928) = 16

We will now calculate the prime factors of 10912 and 10928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10912 and 10928.

How to find the GCF of 10912 and 10928?

We will first find the prime factorization of 10912 and 10928. After we will calculate the factors of 10912 and 10928 and find the biggest common factor number .

Step-1: Prime Factorization of 10912

Prime factors of 10912 are 2, 11, 31. Prime factorization of 10912 in exponential form is:

10912 = 2⁵ × 11¹ × 31¹

Step-2: Prime Factorization of 10928

Prime factors of 10928 are 2, 683. Prime factorization of 10928 in exponential form is:

10928 = 2⁴ × 683¹

Step-3: Factors of 10912

List of positive integer factors of 10912 that divides 10912 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 88, 124, 176, 248, 341, 352, 496, 682, 992, 1364, 2728, 5456

Step-4: Factors of 10928

List of positive integer factors of 10928 that divides 10912 without a remainder.

1, 2, 4, 8, 16, 683, 1366, 2732, 5464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10912 and 10928. The biggest common factor number is the GCF number.
So the greatest common factor 10912 and 10928 is 16.

Also check out the Least Common Multiple of 10912 and 10928