What is the Greatest Common Factor of 84327 and 84345?

Greatest common factor (GCF) of 84327 and 84345 is 3.

GCF(84327,84345) = 3

We will now calculate the prime factors of 84327 and 84345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84327 and 84345.

How to find the GCF of 84327 and 84345?

We will first find the prime factorization of 84327 and 84345. After we will calculate the factors of 84327 and 84345 and find the biggest common factor number .

Step-1: Prime Factorization of 84327

Prime factors of 84327 are 3, 28109. Prime factorization of 84327 in exponential form is:

84327 = 3¹ × 28109¹

Step-2: Prime Factorization of 84345

Prime factors of 84345 are 3, 5, 5623. Prime factorization of 84345 in exponential form is:

84345 = 3¹ × 5¹ × 5623¹

Step-3: Factors of 84327

List of positive integer factors of 84327 that divides 84327 without a remainder.

1, 3, 28109

Step-4: Factors of 84345

List of positive integer factors of 84345 that divides 84327 without a remainder.

1, 3, 5, 15, 5623, 16869, 28115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84327 and 84345. The biggest common factor number is the GCF number.
So the greatest common factor 84327 and 84345 is 3.

Also check out the Least Common Multiple of 84327 and 84345