What is the Greatest Common Factor of 28785 and 28797?

Greatest common factor (GCF) of 28785 and 28797 is 3.

GCF(28785,28797) = 3

We will now calculate the prime factors of 28785 and 28797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28785 and 28797.

How to find the GCF of 28785 and 28797?

We will first find the prime factorization of 28785 and 28797. After we will calculate the factors of 28785 and 28797 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 28797

Prime factors of 28797 are 3, 29, 331. Prime factorization of 28797 in exponential form is:

28797 = 3¹ × 29¹ × 331¹

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 28797

List of positive integer factors of 28797 that divides 28785 without a remainder.

1, 3, 29, 87, 331, 993, 9599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28785 and 28797. The biggest common factor number is the GCF number.
So the greatest common factor 28785 and 28797 is 3.

Also check out the Least Common Multiple of 28785 and 28797