What is the Greatest Common Factor of 28160 and 28170?

Greatest common factor (GCF) of 28160 and 28170 is 10.

GCF(28160,28170) = 10

We will now calculate the prime factors of 28160 and 28170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28160 and 28170.

How to find the GCF of 28160 and 28170?

We will first find the prime factorization of 28160 and 28170. After we will calculate the factors of 28160 and 28170 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 28170

Prime factors of 28170 are 2, 3, 5, 313. Prime factorization of 28170 in exponential form is:

28170 = 2¹ × 3² × 5¹ × 313¹

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 28170

List of positive integer factors of 28170 that divides 28160 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 313, 626, 939, 1565, 1878, 2817, 3130, 4695, 5634, 9390, 14085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28160 and 28170. The biggest common factor number is the GCF number.
So the greatest common factor 28160 and 28170 is 10.

Also check out the Least Common Multiple of 28160 and 28170