What is the Greatest Common Factor of 13440 and 13449?

Greatest common factor (GCF) of 13440 and 13449 is 3.

GCF(13440,13449) = 3

We will now calculate the prime factors of 13440 and 13449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13440 and 13449.

How to find the GCF of 13440 and 13449?

We will first find the prime factorization of 13440 and 13449. After we will calculate the factors of 13440 and 13449 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 13449

Prime factors of 13449 are 3, 4483. Prime factorization of 13449 in exponential form is:

13449 = 3¹ × 4483¹

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 13449

List of positive integer factors of 13449 that divides 13440 without a remainder.

1, 3, 4483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13440 and 13449. The biggest common factor number is the GCF number.
So the greatest common factor 13440 and 13449 is 3.

Also check out the Least Common Multiple of 13440 and 13449