What is the Greatest Common Factor of 28905 and 28917?

Greatest common factor (GCF) of 28905 and 28917 is 3.

GCF(28905,28917) = 3

We will now calculate the prime factors of 28905 and 28917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28905 and 28917.

How to find the GCF of 28905 and 28917?

We will first find the prime factorization of 28905 and 28917. After we will calculate the factors of 28905 and 28917 and find the biggest common factor number .

Step-1: Prime Factorization of 28905

Prime factors of 28905 are 3, 5, 41, 47. Prime factorization of 28905 in exponential form is:

28905 = 3¹ × 5¹ × 41¹ × 47¹

Step-2: Prime Factorization of 28917

Prime factors of 28917 are 3, 7, 17. Prime factorization of 28917 in exponential form is:

28917 = 3⁵ × 7¹ × 17¹

Step-3: Factors of 28905

List of positive integer factors of 28905 that divides 28905 without a remainder.

1, 3, 5, 15, 41, 47, 123, 141, 205, 235, 615, 705, 1927, 5781, 9635

Step-4: Factors of 28917

List of positive integer factors of 28917 that divides 28905 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 243, 357, 459, 567, 1071, 1377, 1701, 3213, 4131, 9639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28905 and 28917. The biggest common factor number is the GCF number.
So the greatest common factor 28905 and 28917 is 3.

Also check out the Least Common Multiple of 28905 and 28917