What is the Greatest Common Factor of 28785 and 28796?

Greatest common factor (GCF) of 28785 and 28796 is 1.

GCF(28785,28796) = 1

We will now calculate the prime factors of 28785 and 28796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28785 and 28796.

How to find the GCF of 28785 and 28796?

We will first find the prime factorization of 28785 and 28796. After we will calculate the factors of 28785 and 28796 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 28796

Prime factors of 28796 are 2, 23, 313. Prime factorization of 28796 in exponential form is:

28796 = 2² × 23¹ × 313¹

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 28796

List of positive integer factors of 28796 that divides 28785 without a remainder.

1, 2, 4, 23, 46, 92, 313, 626, 1252, 7199, 14398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28785 and 28796. The biggest common factor number is the GCF number.
So the greatest common factor 28785 and 28796 is 1.

Also check out the Least Common Multiple of 28785 and 28796