What is the Greatest Common Factor of 13440 and 13459?

Greatest common factor (GCF) of 13440 and 13459 is 1.

GCF(13440,13459) = 1

We will now calculate the prime factors of 13440 and 13459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13440 and 13459.

How to find the GCF of 13440 and 13459?

We will first find the prime factorization of 13440 and 13459. After we will calculate the factors of 13440 and 13459 and find the biggest common factor number .

Step-1: Prime Factorization of 13440

Prime factors of 13440 are 2, 3, 5, 7. Prime factorization of 13440 in exponential form is:

13440 = 2⁷ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 13459

Prime factors of 13459 are 43, 313. Prime factorization of 13459 in exponential form is:

13459 = 43¹ × 313¹

Step-3: Factors of 13440

List of positive integer factors of 13440 that divides 13440 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 128, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 384, 420, 448, 480, 560, 640, 672, 840, 896, 960, 1120, 1344, 1680, 1920, 2240, 2688, 3360, 4480, 6720

Step-4: Factors of 13459

List of positive integer factors of 13459 that divides 13440 without a remainder.

1, 43, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13440 and 13459. The biggest common factor number is the GCF number.
So the greatest common factor 13440 and 13459 is 1.

Also check out the Least Common Multiple of 13440 and 13459