What is the Greatest Common Factor of 28116 and 28127?

Greatest common factor (GCF) of 28116 and 28127 is 11.

GCF(28116,28127) = 11

We will now calculate the prime factors of 28116 and 28127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28116 and 28127.

How to find the GCF of 28116 and 28127?

We will first find the prime factorization of 28116 and 28127. After we will calculate the factors of 28116 and 28127 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 28127

Prime factors of 28127 are 11, 2557. Prime factorization of 28127 in exponential form is:

28127 = 11¹ × 2557¹

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 28127

List of positive integer factors of 28127 that divides 28116 without a remainder.

1, 11, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28116 and 28127. The biggest common factor number is the GCF number.
So the greatest common factor 28116 and 28127 is 11.

Also check out the Least Common Multiple of 28116 and 28127