What is the Greatest Common Factor of 28116 and 28133?

Greatest common factor (GCF) of 28116 and 28133 is 1.

GCF(28116,28133) = 1

We will now calculate the prime factors of 28116 and 28133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28116 and 28133.

How to find the GCF of 28116 and 28133?

We will first find the prime factorization of 28116 and 28133. After we will calculate the factors of 28116 and 28133 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28133

Prime factors of 28133 are 7, 4019. Prime factorization of 28133 in exponential form is:

28133 = 7¹ × 4019¹

Step-3: Factors of 28116

List of positive integer factors of 28116 that divides 28116 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

Step-4: Factors of 28133

List of positive integer factors of 28133 that divides 28116 without a remainder.

1, 7, 4019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28116 and 28133. The biggest common factor number is the GCF number.
So the greatest common factor 28116 and 28133 is 1.

Also check out the Least Common Multiple of 28116 and 28133