What is the Greatest Common Factor of 28985 and 28995?

Greatest common factor (GCF) of 28985 and 28995 is 5.

GCF(28985,28995) = 5

We will now calculate the prime factors of 28985 and 28995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28985 and 28995.

How to find the GCF of 28985 and 28995?

We will first find the prime factorization of 28985 and 28995. After we will calculate the factors of 28985 and 28995 and find the biggest common factor number .

Step-1: Prime Factorization of 28985

Prime factors of 28985 are 5, 11, 17, 31. Prime factorization of 28985 in exponential form is:

28985 = 5¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 28995

Prime factors of 28995 are 3, 5, 1933. Prime factorization of 28995 in exponential form is:

28995 = 3¹ × 5¹ × 1933¹

Step-3: Factors of 28985

List of positive integer factors of 28985 that divides 28985 without a remainder.

1, 5, 11, 17, 31, 55, 85, 155, 187, 341, 527, 935, 1705, 2635, 5797

Step-4: Factors of 28995

List of positive integer factors of 28995 that divides 28985 without a remainder.

1, 3, 5, 15, 1933, 5799, 9665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28985 and 28995. The biggest common factor number is the GCF number.
So the greatest common factor 28985 and 28995 is 5.

Also check out the Least Common Multiple of 28985 and 28995