What is the Greatest Common Factor of 28116 and 28131?

Greatest common factor (GCF) of 28116 and 28131 is 3.

GCF(28116,28131) = 3

We will now calculate the prime factors of 28116 and 28131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28116 and 28131.

How to find the GCF of 28116 and 28131?

We will first find the prime factorization of 28116 and 28131. After we will calculate the factors of 28116 and 28131 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 28131

Prime factors of 28131 are 3, 9377. Prime factorization of 28131 in exponential form is:

28131 = 3¹ × 9377¹

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 28131

List of positive integer factors of 28131 that divides 28116 without a remainder.

1, 3, 9377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28116 and 28131. The biggest common factor number is the GCF number.
So the greatest common factor 28116 and 28131 is 3.

Also check out the Least Common Multiple of 28116 and 28131