What is the Greatest Common Factor of 28199 and 28215?

Greatest common factor (GCF) of 28199 and 28215 is 1.

GCF(28199,28215) = 1

We will now calculate the prime factors of 28199 and 28215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28199 and 28215.

How to find the GCF of 28199 and 28215?

We will first find the prime factorization of 28199 and 28215. After we will calculate the factors of 28199 and 28215 and find the biggest common factor number .

Step-1: Prime Factorization of 28199

Prime factors of 28199 are 163, 173. Prime factorization of 28199 in exponential form is:

28199 = 163¹ × 173¹

Step-2: Prime Factorization of 28215

Prime factors of 28215 are 3, 5, 11, 19. Prime factorization of 28215 in exponential form is:

28215 = 3³ × 5¹ × 11¹ × 19¹

Step-3: Factors of 28199

List of positive integer factors of 28199 that divides 28199 without a remainder.

1, 163, 173

Step-4: Factors of 28215

List of positive integer factors of 28215 that divides 28199 without a remainder.

1, 3, 5, 9, 11, 15, 19, 27, 33, 45, 55, 57, 95, 99, 135, 165, 171, 209, 285, 297, 495, 513, 627, 855, 1045, 1485, 1881, 2565, 3135, 5643, 9405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28199 and 28215. The biggest common factor number is the GCF number.
So the greatest common factor 28199 and 28215 is 1.

Also check out the Least Common Multiple of 28199 and 28215