What is the Greatest Common Factor of 28804 and 28824?

Greatest common factor (GCF) of 28804 and 28824 is 4.

GCF(28804,28824) = 4

We will now calculate the prime factors of 28804 and 28824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28804 and 28824.

How to find the GCF of 28804 and 28824?

We will first find the prime factorization of 28804 and 28824. After we will calculate the factors of 28804 and 28824 and find the biggest common factor number .

Step-1: Prime Factorization of 28804

Prime factors of 28804 are 2, 19, 379. Prime factorization of 28804 in exponential form is:

28804 = 2² × 19¹ × 379¹

Step-2: Prime Factorization of 28824

Prime factors of 28824 are 2, 3, 1201. Prime factorization of 28824 in exponential form is:

28824 = 2³ × 3¹ × 1201¹

Step-3: Factors of 28804

List of positive integer factors of 28804 that divides 28804 without a remainder.

1, 2, 4, 19, 38, 76, 379, 758, 1516, 7201, 14402

Step-4: Factors of 28824

List of positive integer factors of 28824 that divides 28804 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1201, 2402, 3603, 4804, 7206, 9608, 14412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28804 and 28824. The biggest common factor number is the GCF number.
So the greatest common factor 28804 and 28824 is 4.

Also check out the Least Common Multiple of 28804 and 28824