What is the Greatest Common Factor of 28327 and 28343?

Greatest common factor (GCF) of 28327 and 28343 is 1.

GCF(28327,28343) = 1

We will now calculate the prime factors of 28327 and 28343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28327 and 28343.

How to find the GCF of 28327 and 28343?

We will first find the prime factorization of 28327 and 28343. After we will calculate the factors of 28327 and 28343 and find the biggest common factor number .

Step-1: Prime Factorization of 28327

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

28327 = 13¹ × 2179¹

Step-2: Prime Factorization of 28343

Prime factors of 28343 are 7, 4049. Prime factorization of 28343 in exponential form is:

28343 = 7¹ × 4049¹

Step-3: Factors of 28327

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

1, 13, 2179

Step-4: Factors of 28343

List of positive integer factors of 28343 that divides 28327 without a remainder.

1, 7, 4049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28327 and 28343. The biggest common factor number is the GCF number.
So the greatest common factor 28327 and 28343 is 1.

Also check out the Least Common Multiple of 28327 and 28343