What is the Greatest Common Factor of 10344 and 10359?

Greatest common factor (GCF) of 10344 and 10359 is 3.

GCF(10344,10359) = 3

We will now calculate the prime factors of 10344 and 10359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10344 and 10359.

How to find the GCF of 10344 and 10359?

We will first find the prime factorization of 10344 and 10359. After we will calculate the factors of 10344 and 10359 and find the biggest common factor number .

Step-1: Prime Factorization of 10344

Prime factors of 10344 are 2, 3, 431. Prime factorization of 10344 in exponential form is:

10344 = 2³ × 3¹ × 431¹

Step-2: Prime Factorization of 10359

Prime factors of 10359 are 3, 1151. Prime factorization of 10359 in exponential form is:

10359 = 3² × 1151¹

Step-3: Factors of 10344

List of positive integer factors of 10344 that divides 10344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172

Step-4: Factors of 10359

List of positive integer factors of 10359 that divides 10344 without a remainder.

1, 3, 9, 1151, 3453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10344 and 10359. The biggest common factor number is the GCF number.
So the greatest common factor 10344 and 10359 is 3.

Also check out the Least Common Multiple of 10344 and 10359