What is the Greatest Common Factor of 28284 and 28304?

Greatest common factor (GCF) of 28284 and 28304 is 4.

GCF(28284,28304) = 4

We will now calculate the prime factors of 28284 and 28304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28284 and 28304.

How to find the GCF of 28284 and 28304?

We will first find the prime factorization of 28284 and 28304. After we will calculate the factors of 28284 and 28304 and find the biggest common factor number .

Step-1: Prime Factorization of 28284

Prime factors of 28284 are 2, 3, 2357. Prime factorization of 28284 in exponential form is:

28284 = 2² × 3¹ × 2357¹

Step-2: Prime Factorization of 28304

Prime factors of 28304 are 2, 29, 61. Prime factorization of 28304 in exponential form is:

28304 = 2⁴ × 29¹ × 61¹

Step-3: Factors of 28284

List of positive integer factors of 28284 that divides 28284 without a remainder.

1, 2, 3, 4, 6, 12, 2357, 4714, 7071, 9428, 14142

Step-4: Factors of 28304

List of positive integer factors of 28304 that divides 28284 without a remainder.

1, 2, 4, 8, 16, 29, 58, 61, 116, 122, 232, 244, 464, 488, 976, 1769, 3538, 7076, 14152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28284 and 28304. The biggest common factor number is the GCF number.
So the greatest common factor 28284 and 28304 is 4.

Also check out the Least Common Multiple of 28284 and 28304