What is the Greatest Common Factor of 28315 and 28327?

Greatest common factor (GCF) of 28315 and 28327 is 1.

GCF(28315,28327) = 1

We will now calculate the prime factors of 28315 and 28327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28315 and 28327.

How to find the GCF of 28315 and 28327?

We will first find the prime factorization of 28315 and 28327. After we will calculate the factors of 28315 and 28327 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 28327

Prime factors of 28327 are 13, 2179. Prime factorization of 28327 in exponential form is:

28327 = 13¹ × 2179¹

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 28327

List of positive integer factors of 28327 that divides 28315 without a remainder.

1, 13, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28315 and 28327. The biggest common factor number is the GCF number.
So the greatest common factor 28315 and 28327 is 1.

Also check out the Least Common Multiple of 28315 and 28327