What is the Greatest Common Factor of 28785 and 28790?

Greatest common factor (GCF) of 28785 and 28790 is 5.

GCF(28785,28790) = 5

We will now calculate the prime factors of 28785 and 28790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28785 and 28790.

How to find the GCF of 28785 and 28790?

We will first find the prime factorization of 28785 and 28790. After we will calculate the factors of 28785 and 28790 and find the biggest common factor number .

Step-1: Prime Factorization of 28785

Prime factors of 28785 are 3, 5, 19, 101. Prime factorization of 28785 in exponential form is:

28785 = 3¹ × 5¹ × 19¹ × 101¹

Step-2: Prime Factorization of 28790

Prime factors of 28790 are 2, 5, 2879. Prime factorization of 28790 in exponential form is:

28790 = 2¹ × 5¹ × 2879¹

Step-3: Factors of 28785

List of positive integer factors of 28785 that divides 28785 without a remainder.

1, 3, 5, 15, 19, 57, 95, 101, 285, 303, 505, 1515, 1919, 5757, 9595

Step-4: Factors of 28790

List of positive integer factors of 28790 that divides 28785 without a remainder.

1, 2, 5, 10, 2879, 5758, 14395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28785 and 28790. The biggest common factor number is the GCF number.
So the greatest common factor 28785 and 28790 is 5.

Also check out the Least Common Multiple of 28785 and 28790