What is the Greatest Common Factor of 14025 and 14040?

Greatest common factor (GCF) of 14025 and 14040 is 15.

GCF(14025,14040) = 15

We will now calculate the prime factors of 14025 and 14040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14025 and 14040.

How to find the GCF of 14025 and 14040?

We will first find the prime factorization of 14025 and 14040. After we will calculate the factors of 14025 and 14040 and find the biggest common factor number .

Step-1: Prime Factorization of 14025

Prime factors of 14025 are 3, 5, 11, 17. Prime factorization of 14025 in exponential form is:

14025 = 3¹ × 5² × 11¹ × 17¹

Step-2: 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-3: Factors of 14025

List of positive integer factors of 14025 that divides 14025 without a remainder.

1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 165, 187, 255, 275, 425, 561, 825, 935, 1275, 2805, 4675

Step-4: Factors of 14040

List of positive integer factors of 14040 that divides 14025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14025 and 14040. The biggest common factor number is the GCF number.
So the greatest common factor 14025 and 14040 is 15.

Also check out the Least Common Multiple of 14025 and 14040