What is the Greatest Common Factor of 28160 and 28165?

Greatest common factor (GCF) of 28160 and 28165 is 5.

GCF(28160,28165) = 5

We will now calculate the prime factors of 28160 and 28165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28160 and 28165.

How to find the GCF of 28160 and 28165?

We will first find the prime factorization of 28160 and 28165. After we will calculate the factors of 28160 and 28165 and find the biggest common factor number .

Step-1: Prime Factorization of 28160

Prime factors of 28160 are 2, 5, 11. Prime factorization of 28160 in exponential form is:

28160 = 2⁹ × 5¹ × 11¹

Step-2: Prime Factorization of 28165

Prime factors of 28165 are 5, 43, 131. Prime factorization of 28165 in exponential form is:

28165 = 5¹ × 43¹ × 131¹

Step-3: Factors of 28160

List of positive integer factors of 28160 that divides 28160 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 256, 320, 352, 440, 512, 640, 704, 880, 1280, 1408, 1760, 2560, 2816, 3520, 5632, 7040, 14080

Step-4: Factors of 28165

List of positive integer factors of 28165 that divides 28160 without a remainder.

1, 5, 43, 131, 215, 655, 5633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28160 and 28165. The biggest common factor number is the GCF number.
So the greatest common factor 28160 and 28165 is 5.

Also check out the Least Common Multiple of 28160 and 28165