What is the Greatest Common Factor of 28104 and 28116?

Greatest common factor (GCF) of 28104 and 28116 is 12.

GCF(28104,28116) = 12

We will now calculate the prime factors of 28104 and 28116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28104 and 28116.

How to find the GCF of 28104 and 28116?

We will first find the prime factorization of 28104 and 28116. After we will calculate the factors of 28104 and 28116 and find the biggest common factor number .

Step-1: Prime Factorization of 28104

Prime factors of 28104 are 2, 3, 1171. Prime factorization of 28104 in exponential form is:

28104 = 2³ × 3¹ × 1171¹

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 28104

List of positive integer factors of 28104 that divides 28104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1171, 2342, 3513, 4684, 7026, 9368, 14052

Step-4: Factors of 28116

List of positive integer factors of 28116 that divides 28104 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 28104 and 28116. The biggest common factor number is the GCF number.
So the greatest common factor 28104 and 28116 is 12.

Also check out the Least Common Multiple of 28104 and 28116