What is the Greatest Common Factor of 28335 and 28349?

Greatest common factor (GCF) of 28335 and 28349 is 1.

GCF(28335,28349) = 1

We will now calculate the prime factors of 28335 and 28349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28335 and 28349.

How to find the GCF of 28335 and 28349?

We will first find the prime factorization of 28335 and 28349. After we will calculate the factors of 28335 and 28349 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 28349

Prime factors of 28349 are 28349. Prime factorization of 28349 in exponential form is:

28349 = 28349¹

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 28349

List of positive integer factors of 28349 that divides 28335 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28335 and 28349. The biggest common factor number is the GCF number.
So the greatest common factor 28335 and 28349 is 1.

Also check out the Least Common Multiple of 28335 and 28349