What is the Greatest Common Factor of 14020 and 14040?

Greatest common factor (GCF) of 14020 and 14040 is 20.

GCF(14020,14040) = 20

We will now calculate the prime factors of 14020 and 14040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14020 and 14040.

How to find the GCF of 14020 and 14040?

We will first find the prime factorization of 14020 and 14040. After we will calculate the factors of 14020 and 14040 and find the biggest common factor number .

Step-1: Prime Factorization of 14020

Prime factors of 14020 are 2, 5, 701. Prime factorization of 14020 in exponential form is:

14020 = 2² × 5¹ × 701¹

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 14020

List of positive integer factors of 14020 that divides 14020 without a remainder.

1, 2, 4, 5, 10, 20, 701, 1402, 2804, 3505, 7010

Step-4: Factors of 14040

List of positive integer factors of 14040 that divides 14020 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 14020 and 14040. The biggest common factor number is the GCF number.
So the greatest common factor 14020 and 14040 is 20.

Also check out the Least Common Multiple of 14020 and 14040