What is the Greatest Common Factor of 28208 and 28215?

Greatest common factor (GCF) of 28208 and 28215 is 1.

GCF(28208,28215) = 1

We will now calculate the prime factors of 28208 and 28215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28208 and 28215.

How to find the GCF of 28208 and 28215?

We will first find the prime factorization of 28208 and 28215. After we will calculate the factors of 28208 and 28215 and find the biggest common factor number .

Step-1: Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 2⁴ × 41¹ × 43¹

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 28208

List of positive integer factors of 28208 that divides 28208 without a remainder.

1, 2, 4, 8, 16, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1763, 3526, 7052, 14104

Step-4: Factors of 28215

List of positive integer factors of 28215 that divides 28208 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 28208 and 28215. The biggest common factor number is the GCF number.
So the greatest common factor 28208 and 28215 is 1.

Also check out the Least Common Multiple of 28208 and 28215