What is the Greatest Common Factor of 14040 and 14055?

Greatest common factor (GCF) of 14040 and 14055 is 15.

GCF(14040,14055) = 15

We will now calculate the prime factors of 14040 and 14055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14040 and 14055.

How to find the GCF of 14040 and 14055?

We will first find the prime factorization of 14040 and 14055. After we will calculate the factors of 14040 and 14055 and find the biggest common factor number .

Step-1: Prime Factorization of 14040

Prime factors of 14040 are 2, 3, 5, 13. Prime factorization of 14040 in exponential form is:

14040 = 2³ × 3³ × 5¹ × 13¹

Step-2: Prime Factorization of 14055

Prime factors of 14055 are 3, 5, 937. Prime factorization of 14055 in exponential form is:

14055 = 3¹ × 5¹ × 937¹

Step-3: Factors of 14040

List of positive integer factors of 14040 that divides 14040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 90, 104, 108, 117, 120, 130, 135, 156, 180, 195, 216, 234, 260, 270, 312, 351, 360, 390, 468, 520, 540, 585, 702, 780, 936, 1080, 1170, 1404, 1560, 1755, 2340, 2808, 3510, 4680, 7020

Step-4: Factors of 14055

List of positive integer factors of 14055 that divides 14040 without a remainder.

1, 3, 5, 15, 937, 2811, 4685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14040 and 14055. The biggest common factor number is the GCF number.
So the greatest common factor 14040 and 14055 is 15.

Also check out the Least Common Multiple of 14040 and 14055