What is the Greatest Common Factor of 28184 and 28204?

Greatest common factor (GCF) of 28184 and 28204 is 4.

GCF(28184,28204) = 4

We will now calculate the prime factors of 28184 and 28204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28184 and 28204.

How to find the GCF of 28184 and 28204?

We will first find the prime factorization of 28184 and 28204. After we will calculate the factors of 28184 and 28204 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 28204

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

28204 = 2² × 11¹ × 641¹

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 28204

List of positive integer factors of 28204 that divides 28184 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28184 and 28204. The biggest common factor number is the GCF number.
So the greatest common factor 28184 and 28204 is 4.

Also check out the Least Common Multiple of 28184 and 28204