What is the Greatest Common Factor of 28105 and 28116?

Greatest common factor (GCF) of 28105 and 28116 is 11.

GCF(28105,28116) = 11

We will now calculate the prime factors of 28105 and 28116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28105 and 28116.

How to find the GCF of 28105 and 28116?

We will first find the prime factorization of 28105 and 28116. After we will calculate the factors of 28105 and 28116 and find the biggest common factor number .

Step-1: Prime Factorization of 28105

Prime factors of 28105 are 5, 7, 11, 73. Prime factorization of 28105 in exponential form is:

28105 = 5¹ × 7¹ × 11¹ × 73¹

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 28105

List of positive integer factors of 28105 that divides 28105 without a remainder.

1, 5, 7, 11, 35, 55, 73, 77, 365, 385, 511, 803, 2555, 4015, 5621

Step-4: Factors of 28116

List of positive integer factors of 28116 that divides 28105 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 28105 and 28116. The biggest common factor number is the GCF number.
So the greatest common factor 28105 and 28116 is 11.

Also check out the Least Common Multiple of 28105 and 28116