What is the Greatest Common Factor of 28675 and 28691?

Greatest common factor (GCF) of 28675 and 28691 is 1.

GCF(28675,28691) = 1

We will now calculate the prime factors of 28675 and 28691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28675 and 28691.

How to find the GCF of 28675 and 28691?

We will first find the prime factorization of 28675 and 28691. After we will calculate the factors of 28675 and 28691 and find the biggest common factor number .

Step-1: Prime Factorization of 28675

Prime factors of 28675 are 5, 31, 37. Prime factorization of 28675 in exponential form is:

28675 = 5² × 31¹ × 37¹

Step-2: Prime Factorization of 28691

Prime factors of 28691 are 13, 2207. Prime factorization of 28691 in exponential form is:

28691 = 13¹ × 2207¹

Step-3: Factors of 28675

List of positive integer factors of 28675 that divides 28675 without a remainder.

1, 5, 25, 31, 37, 155, 185, 775, 925, 1147, 5735

Step-4: Factors of 28691

List of positive integer factors of 28691 that divides 28675 without a remainder.

1, 13, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28675 and 28691. The biggest common factor number is the GCF number.
So the greatest common factor 28675 and 28691 is 1.

Also check out the Least Common Multiple of 28675 and 28691