What is the Greatest Common Factor of 28096 and 28112?

Greatest common factor (GCF) of 28096 and 28112 is 16.

GCF(28096,28112) = 16

We will now calculate the prime factors of 28096 and 28112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28096 and 28112.

How to find the GCF of 28096 and 28112?

We will first find the prime factorization of 28096 and 28112. After we will calculate the factors of 28096 and 28112 and find the biggest common factor number .

Step-1: Prime Factorization of 28096

Prime factors of 28096 are 2, 439. Prime factorization of 28096 in exponential form is:

28096 = 2⁶ × 439¹

Step-2: Prime Factorization of 28112

Prime factors of 28112 are 2, 7, 251. Prime factorization of 28112 in exponential form is:

28112 = 2⁴ × 7¹ × 251¹

Step-3: Factors of 28096

List of positive integer factors of 28096 that divides 28096 without a remainder.

1, 2, 4, 8, 16, 32, 64, 439, 878, 1756, 3512, 7024, 14048

Step-4: Factors of 28112

List of positive integer factors of 28112 that divides 28096 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 251, 502, 1004, 1757, 2008, 3514, 4016, 7028, 14056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28096 and 28112. The biggest common factor number is the GCF number.
So the greatest common factor 28096 and 28112 is 16.

Also check out the Least Common Multiple of 28096 and 28112