What is the Greatest Common Factor of 14040 and 14045?

Greatest common factor (GCF) of 14040 and 14045 is 5.

GCF(14040,14045) = 5

We will now calculate the prime factors of 14040 and 14045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14040 and 14045.

How to find the GCF of 14040 and 14045?

We will first find the prime factorization of 14040 and 14045. After we will calculate the factors of 14040 and 14045 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 14045

Prime factors of 14045 are 5, 53. Prime factorization of 14045 in exponential form is:

14045 = 5¹ × 53²

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 14045

List of positive integer factors of 14045 that divides 14040 without a remainder.

1, 5, 53, 265, 2809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14040 and 14045. The biggest common factor number is the GCF number.
So the greatest common factor 14040 and 14045 is 5.

Also check out the Least Common Multiple of 14040 and 14045