What is the Greatest Common Factor of 14031 and 14040?

Greatest common factor (GCF) of 14031 and 14040 is 9.

GCF(14031,14040) = 9

We will now calculate the prime factors of 14031 and 14040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14031 and 14040.

How to find the GCF of 14031 and 14040?

We will first find the prime factorization of 14031 and 14040. After we will calculate the factors of 14031 and 14040 and find the biggest common factor number .

Step-1: Prime Factorization of 14031

Prime factors of 14031 are 3, 1559. Prime factorization of 14031 in exponential form is:

14031 = 3² × 1559¹

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 14031

List of positive integer factors of 14031 that divides 14031 without a remainder.

1, 3, 9, 1559, 4677

Step-4: Factors of 14040

List of positive integer factors of 14040 that divides 14031 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 14031 and 14040. The biggest common factor number is the GCF number.
So the greatest common factor 14031 and 14040 is 9.

Also check out the Least Common Multiple of 14031 and 14040