What is the Greatest Common Factor of 28695 and 28701?

Greatest common factor (GCF) of 28695 and 28701 is 3.

GCF(28695,28701) = 3

We will now calculate the prime factors of 28695 and 28701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28695 and 28701.

How to find the GCF of 28695 and 28701?

We will first find the prime factorization of 28695 and 28701. After we will calculate the factors of 28695 and 28701 and find the biggest common factor number .

Step-1: Prime Factorization of 28695

Prime factors of 28695 are 3, 5, 1913. Prime factorization of 28695 in exponential form is:

28695 = 3¹ × 5¹ × 1913¹

Step-2: Prime Factorization of 28701

Prime factors of 28701 are 3, 1063. Prime factorization of 28701 in exponential form is:

28701 = 3³ × 1063¹

Step-3: Factors of 28695

List of positive integer factors of 28695 that divides 28695 without a remainder.

1, 3, 5, 15, 1913, 5739, 9565

Step-4: Factors of 28701

List of positive integer factors of 28701 that divides 28695 without a remainder.

1, 3, 9, 27, 1063, 3189, 9567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28695 and 28701. The biggest common factor number is the GCF number.
So the greatest common factor 28695 and 28701 is 3.

Also check out the Least Common Multiple of 28695 and 28701