What is the Greatest Common Factor of 28352 and 28363?

Greatest common factor (GCF) of 28352 and 28363 is 1.

GCF(28352,28363) = 1

We will now calculate the prime factors of 28352 and 28363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28352 and 28363.

How to find the GCF of 28352 and 28363?

We will first find the prime factorization of 28352 and 28363. After we will calculate the factors of 28352 and 28363 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 28363

Prime factors of 28363 are 113, 251. Prime factorization of 28363 in exponential form is:

28363 = 113¹ × 251¹

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 28363

List of positive integer factors of 28363 that divides 28352 without a remainder.

1, 113, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28352 and 28363. The biggest common factor number is the GCF number.
So the greatest common factor 28352 and 28363 is 1.

Also check out the Least Common Multiple of 28352 and 28363