What is the Greatest Common Factor of 28635 and 28647?

Greatest common factor (GCF) of 28635 and 28647 is 3.

GCF(28635,28647) = 3

We will now calculate the prime factors of 28635 and 28647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28635 and 28647.

How to find the GCF of 28635 and 28647?

We will first find the prime factorization of 28635 and 28647. After we will calculate the factors of 28635 and 28647 and find the biggest common factor number .

Step-1: Prime Factorization of 28635

Prime factors of 28635 are 3, 5, 23, 83. Prime factorization of 28635 in exponential form is:

28635 = 3¹ × 5¹ × 23¹ × 83¹

Step-2: Prime Factorization of 28647

Prime factors of 28647 are 3, 1061. Prime factorization of 28647 in exponential form is:

28647 = 3³ × 1061¹

Step-3: Factors of 28635

List of positive integer factors of 28635 that divides 28635 without a remainder.

1, 3, 5, 15, 23, 69, 83, 115, 249, 345, 415, 1245, 1909, 5727, 9545

Step-4: Factors of 28647

List of positive integer factors of 28647 that divides 28635 without a remainder.

1, 3, 9, 27, 1061, 3183, 9549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28635 and 28647. The biggest common factor number is the GCF number.
So the greatest common factor 28635 and 28647 is 3.

Also check out the Least Common Multiple of 28635 and 28647