What is the Greatest Common Factor of 28335 and 28341?

Greatest common factor (GCF) of 28335 and 28341 is 3.

GCF(28335,28341) = 3

We will now calculate the prime factors of 28335 and 28341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28335 and 28341.

How to find the GCF of 28335 and 28341?

We will first find the prime factorization of 28335 and 28341. After we will calculate the factors of 28335 and 28341 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 28341

Prime factors of 28341 are 3, 47, 67. Prime factorization of 28341 in exponential form is:

28341 = 3² × 47¹ × 67¹

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 28341

List of positive integer factors of 28341 that divides 28335 without a remainder.

1, 3, 9, 47, 67, 141, 201, 423, 603, 3149, 9447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28335 and 28341. The biggest common factor number is the GCF number.
So the greatest common factor 28335 and 28341 is 3.

Also check out the Least Common Multiple of 28335 and 28341