What is the Greatest Common Factor of 28160 and 28164?

Greatest common factor (GCF) of 28160 and 28164 is 4.

GCF(28160,28164) = 4

We will now calculate the prime factors of 28160 and 28164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28160 and 28164.

How to find the GCF of 28160 and 28164?

We will first find the prime factorization of 28160 and 28164. After we will calculate the factors of 28160 and 28164 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 28164

Prime factors of 28164 are 2, 3, 2347. Prime factorization of 28164 in exponential form is:

28164 = 2² × 3¹ × 2347¹

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 28164

List of positive integer factors of 28164 that divides 28160 without a remainder.

1, 2, 3, 4, 6, 12, 2347, 4694, 7041, 9388, 14082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28160 and 28164. The biggest common factor number is the GCF number.
So the greatest common factor 28160 and 28164 is 4.

Also check out the Least Common Multiple of 28160 and 28164