What is the Greatest Common Factor of 28096 and 28116?

Greatest common factor (GCF) of 28096 and 28116 is 4.

GCF(28096,28116) = 4

We will now calculate the prime factors of 28096 and 28116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28096 and 28116.

How to find the GCF of 28096 and 28116?

We will first find the prime factorization of 28096 and 28116. After we will calculate the factors of 28096 and 28116 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 28116

Prime factors of 28116 are 2, 3, 11, 71. Prime factorization of 28116 in exponential form is:

28116 = 2² × 3² × 11¹ × 71¹

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 28116

List of positive integer factors of 28116 that divides 28096 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 71, 99, 132, 142, 198, 213, 284, 396, 426, 639, 781, 852, 1278, 1562, 2343, 2556, 3124, 4686, 7029, 9372, 14058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28096 and 28116. The biggest common factor number is the GCF number.
So the greatest common factor 28096 and 28116 is 4.

Also check out the Least Common Multiple of 28096 and 28116