What is the Greatest Common Factor of 28184 and 28192?

Greatest common factor (GCF) of 28184 and 28192 is 8.

GCF(28184,28192) = 8

We will now calculate the prime factors of 28184 and 28192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28184 and 28192.

How to find the GCF of 28184 and 28192?

We will first find the prime factorization of 28184 and 28192. After we will calculate the factors of 28184 and 28192 and find the biggest common factor number .

Step-1: Prime Factorization of 28184

Prime factors of 28184 are 2, 13, 271. Prime factorization of 28184 in exponential form is:

28184 = 2³ × 13¹ × 271¹

Step-2: Prime Factorization of 28192

Prime factors of 28192 are 2, 881. Prime factorization of 28192 in exponential form is:

28192 = 2⁵ × 881¹

Step-3: Factors of 28184

List of positive integer factors of 28184 that divides 28184 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 271, 542, 1084, 2168, 3523, 7046, 14092

Step-4: Factors of 28192

List of positive integer factors of 28192 that divides 28184 without a remainder.

1, 2, 4, 8, 16, 32, 881, 1762, 3524, 7048, 14096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28184 and 28192. The biggest common factor number is the GCF number.
So the greatest common factor 28184 and 28192 is 8.

Also check out the Least Common Multiple of 28184 and 28192