What is the Greatest Common Factor of 28345 and 28352?

Greatest common factor (GCF) of 28345 and 28352 is 1.

GCF(28345,28352) = 1

We will now calculate the prime factors of 28345 and 28352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28345 and 28352.

How to find the GCF of 28345 and 28352?

We will first find the prime factorization of 28345 and 28352. After we will calculate the factors of 28345 and 28352 and find the biggest common factor number .

Step-1: Prime Factorization of 28345

Prime factors of 28345 are 5, 5669. Prime factorization of 28345 in exponential form is:

28345 = 5¹ × 5669¹

Step-2: Prime Factorization of 28352

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

28352 = 2⁶ × 443¹

Step-3: Factors of 28345

List of positive integer factors of 28345 that divides 28345 without a remainder.

1, 5, 5669

Step-4: Factors of 28352

List of positive integer factors of 28352 that divides 28345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28345 and 28352. The biggest common factor number is the GCF number.
So the greatest common factor 28345 and 28352 is 1.

Also check out the Least Common Multiple of 28345 and 28352