What is the Greatest Common Factor of 28352 and 28366?

Greatest common factor (GCF) of 28352 and 28366 is 2.

GCF(28352,28366) = 2

We will now calculate the prime factors of 28352 and 28366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28352 and 28366.

How to find the GCF of 28352 and 28366?

We will first find the prime factorization of 28352 and 28366. After we will calculate the factors of 28352 and 28366 and find the biggest common factor number .

Step-1: Prime Factorization of 28352

Prime factors of 28352 are 2, 443. Prime factorization of 28352 in exponential form is:

28352 = 2⁶ × 443¹

Step-2: Prime Factorization of 28366

Prime factors of 28366 are 2, 13, 1091. Prime factorization of 28366 in exponential form is:

28366 = 2¹ × 13¹ × 1091¹

Step-3: Factors of 28352

List of positive integer factors of 28352 that divides 28352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 443, 886, 1772, 3544, 7088, 14176

Step-4: Factors of 28366

List of positive integer factors of 28366 that divides 28352 without a remainder.

1, 2, 13, 26, 1091, 2182, 14183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28352 and 28366. The biggest common factor number is the GCF number.
So the greatest common factor 28352 and 28366 is 2.

Also check out the Least Common Multiple of 28352 and 28366