What is the Greatest Common Factor of 28116 and 28121?

Greatest common factor (GCF) of 28116 and 28121 is 1.

GCF(28116,28121) = 1

We will now calculate the prime factors of 28116 and 28121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28116 and 28121.

How to find the GCF of 28116 and 28121?

We will first find the prime factorization of 28116 and 28121. After we will calculate the factors of 28116 and 28121 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 28121

Prime factors of 28121 are 61, 461. Prime factorization of 28121 in exponential form is:

28121 = 61¹ × 461¹

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 28121

List of positive integer factors of 28121 that divides 28116 without a remainder.

1, 61, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28116 and 28121. The biggest common factor number is the GCF number.
So the greatest common factor 28116 and 28121 is 1.

Also check out the Least Common Multiple of 28116 and 28121