What is the Greatest Common Factor of 10338 and 10344?

Greatest common factor (GCF) of 10338 and 10344 is 6.

GCF(10338,10344) = 6

We will now calculate the prime factors of 10338 and 10344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10338 and 10344.

How to find the GCF of 10338 and 10344?

We will first find the prime factorization of 10338 and 10344. After we will calculate the factors of 10338 and 10344 and find the biggest common factor number .

Step-1: Prime Factorization of 10338

Prime factors of 10338 are 2, 3, 1723. Prime factorization of 10338 in exponential form is:

10338 = 2¹ × 3¹ × 1723¹

Step-2: 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-3: Factors of 10338

List of positive integer factors of 10338 that divides 10338 without a remainder.

1, 2, 3, 6, 1723, 3446, 5169

Step-4: Factors of 10344

List of positive integer factors of 10344 that divides 10338 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10338 and 10344. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10344 is 6.

Also check out the Least Common Multiple of 10338 and 10344