What is the Greatest Common Factor of 28675 and 28690?

Greatest common factor (GCF) of 28675 and 28690 is 5.

GCF(28675,28690) = 5

We will now calculate the prime factors of 28675 and 28690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28675 and 28690.

How to find the GCF of 28675 and 28690?

We will first find the prime factorization of 28675 and 28690. After we will calculate the factors of 28675 and 28690 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 28690

Prime factors of 28690 are 2, 5, 19, 151. Prime factorization of 28690 in exponential form is:

28690 = 2¹ × 5¹ × 19¹ × 151¹

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 28690

List of positive integer factors of 28690 that divides 28675 without a remainder.

1, 2, 5, 10, 19, 38, 95, 151, 190, 302, 755, 1510, 2869, 5738, 14345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28675 and 28690. The biggest common factor number is the GCF number.
So the greatest common factor 28675 and 28690 is 5.

Also check out the Least Common Multiple of 28675 and 28690