What is the Greatest Common Factor of 28792 and 28804?

Greatest common factor (GCF) of 28792 and 28804 is 4.

GCF(28792,28804) = 4

We will now calculate the prime factors of 28792 and 28804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28792 and 28804.

How to find the GCF of 28792 and 28804?

We will first find the prime factorization of 28792 and 28804. After we will calculate the factors of 28792 and 28804 and find the biggest common factor number .

Step-1: Prime Factorization of 28792

Prime factors of 28792 are 2, 59, 61. Prime factorization of 28792 in exponential form is:

28792 = 2³ × 59¹ × 61¹

Step-2: 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-3: Factors of 28792

List of positive integer factors of 28792 that divides 28792 without a remainder.

1, 2, 4, 8, 59, 61, 118, 122, 236, 244, 472, 488, 3599, 7198, 14396

Step-4: Factors of 28804

List of positive integer factors of 28804 that divides 28792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28792 and 28804. The biggest common factor number is the GCF number.
So the greatest common factor 28792 and 28804 is 4.

Also check out the Least Common Multiple of 28792 and 28804