What is the Greatest Common Factor of 28335 and 28352?

Greatest common factor (GCF) of 28335 and 28352 is 1.

GCF(28335,28352) = 1

We will now calculate the prime factors of 28335 and 28352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28335 and 28352.

How to find the GCF of 28335 and 28352?

We will first find the prime factorization of 28335 and 28352. After we will calculate the factors of 28335 and 28352 and find the biggest common factor number .

Step-1: Prime Factorization of 28335

Prime factors of 28335 are 3, 5, 1889. Prime factorization of 28335 in exponential form is:

28335 = 3¹ × 5¹ × 1889¹

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 28335

List of positive integer factors of 28335 that divides 28335 without a remainder.

1, 3, 5, 15, 1889, 5667, 9445

Step-4: Factors of 28352

List of positive integer factors of 28352 that divides 28335 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 28335 and 28352. The biggest common factor number is the GCF number.
So the greatest common factor 28335 and 28352 is 1.

Also check out the Least Common Multiple of 28335 and 28352