What is the Greatest Common Factor of 28335 and 28340?

Greatest common factor (GCF) of 28335 and 28340 is 5.

GCF(28335,28340) = 5

We will now calculate the prime factors of 28335 and 28340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28335 and 28340.

How to find the GCF of 28335 and 28340?

We will first find the prime factorization of 28335 and 28340. After we will calculate the factors of 28335 and 28340 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 28340

Prime factors of 28340 are 2, 5, 13, 109. Prime factorization of 28340 in exponential form is:

28340 = 2² × 5¹ × 13¹ × 109¹

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 28340

List of positive integer factors of 28340 that divides 28335 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 109, 130, 218, 260, 436, 545, 1090, 1417, 2180, 2834, 5668, 7085, 14170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28335 and 28340. The biggest common factor number is the GCF number.
So the greatest common factor 28335 and 28340 is 5.

Also check out the Least Common Multiple of 28335 and 28340