What is the Greatest Common Factor of 28344 and 28359?

Greatest common factor (GCF) of 28344 and 28359 is 3.

GCF(28344,28359) = 3

We will now calculate the prime factors of 28344 and 28359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28344 and 28359.

How to find the GCF of 28344 and 28359?

We will first find the prime factorization of 28344 and 28359. After we will calculate the factors of 28344 and 28359 and find the biggest common factor number .

Step-1: Prime Factorization of 28344

Prime factors of 28344 are 2, 3, 1181. Prime factorization of 28344 in exponential form is:

28344 = 2³ × 3¹ × 1181¹

Step-2: Prime Factorization of 28359

Prime factors of 28359 are 3, 23, 137. Prime factorization of 28359 in exponential form is:

28359 = 3² × 23¹ × 137¹

Step-3: Factors of 28344

List of positive integer factors of 28344 that divides 28344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1181, 2362, 3543, 4724, 7086, 9448, 14172

Step-4: Factors of 28359

List of positive integer factors of 28359 that divides 28344 without a remainder.

1, 3, 9, 23, 69, 137, 207, 411, 1233, 3151, 9453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28344 and 28359. The biggest common factor number is the GCF number.
So the greatest common factor 28344 and 28359 is 3.

Also check out the Least Common Multiple of 28344 and 28359