What is the Greatest Common Factor of 28336 and 28348?

Greatest common factor (GCF) of 28336 and 28348 is 4.

GCF(28336,28348) = 4

We will now calculate the prime factors of 28336 and 28348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28336 and 28348.

How to find the GCF of 28336 and 28348?

We will first find the prime factorization of 28336 and 28348. After we will calculate the factors of 28336 and 28348 and find the biggest common factor number .

Step-1: Prime Factorization of 28336

Prime factors of 28336 are 2, 7, 11, 23. Prime factorization of 28336 in exponential form is:

28336 = 2⁴ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 28348

Prime factors of 28348 are 2, 19, 373. Prime factorization of 28348 in exponential form is:

28348 = 2² × 19¹ × 373¹

Step-3: Factors of 28336

List of positive integer factors of 28336 that divides 28336 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 23, 28, 44, 46, 56, 77, 88, 92, 112, 154, 161, 176, 184, 253, 308, 322, 368, 506, 616, 644, 1012, 1232, 1288, 1771, 2024, 2576, 3542, 4048, 7084, 14168

Step-4: Factors of 28348

List of positive integer factors of 28348 that divides 28336 without a remainder.

1, 2, 4, 19, 38, 76, 373, 746, 1492, 7087, 14174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28336 and 28348. The biggest common factor number is the GCF number.
So the greatest common factor 28336 and 28348 is 4.

Also check out the Least Common Multiple of 28336 and 28348