What is the Greatest Common Factor of 28204 and 28215?

Greatest common factor (GCF) of 28204 and 28215 is 11.

GCF(28204,28215) = 11

We will now calculate the prime factors of 28204 and 28215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28204 and 28215.

How to find the GCF of 28204 and 28215?

We will first find the prime factorization of 28204 and 28215. After we will calculate the factors of 28204 and 28215 and find the biggest common factor number .

Step-1: Prime Factorization of 28204

Prime factors of 28204 are 2, 11, 641. Prime factorization of 28204 in exponential form is:

28204 = 2² × 11¹ × 641¹

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 28204

List of positive integer factors of 28204 that divides 28204 without a remainder.

1, 2, 4, 11, 22, 44, 641, 1282, 2564, 7051, 14102

Step-4: Factors of 28215

List of positive integer factors of 28215 that divides 28204 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 28204 and 28215. The biggest common factor number is the GCF number.
So the greatest common factor 28204 and 28215 is 11.

Also check out the Least Common Multiple of 28204 and 28215