What is the Greatest Common Factor of 28315 and 28335?

Greatest common factor (GCF) of 28315 and 28335 is 5.

GCF(28315,28335) = 5

We will now calculate the prime factors of 28315 and 28335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28315 and 28335.

How to find the GCF of 28315 and 28335?

We will first find the prime factorization of 28315 and 28335. After we will calculate the factors of 28315 and 28335 and find the biggest common factor number .

Step-1: Prime Factorization of 28315

Prime factors of 28315 are 5, 7, 809. Prime factorization of 28315 in exponential form is:

28315 = 5¹ × 7¹ × 809¹

Step-2: 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-3: Factors of 28315

List of positive integer factors of 28315 that divides 28315 without a remainder.

1, 5, 7, 35, 809, 4045, 5663

Step-4: Factors of 28335

List of positive integer factors of 28335 that divides 28315 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28315 and 28335. The biggest common factor number is the GCF number.
So the greatest common factor 28315 and 28335 is 5.

Also check out the Least Common Multiple of 28315 and 28335