What is the Greatest Common Factor of 14030 and 14040?

Greatest common factor (GCF) of 14030 and 14040 is 10.

GCF(14030,14040) = 10

We will now calculate the prime factors of 14030 and 14040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14030 and 14040.

How to find the GCF of 14030 and 14040?

We will first find the prime factorization of 14030 and 14040. After we will calculate the factors of 14030 and 14040 and find the biggest common factor number .

Step-1: Prime Factorization of 14030

Prime factors of 14030 are 2, 5, 23, 61. Prime factorization of 14030 in exponential form is:

14030 = 2¹ × 5¹ × 23¹ × 61¹

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 14030

List of positive integer factors of 14030 that divides 14030 without a remainder.

1, 2, 5, 10, 23, 46, 61, 115, 122, 230, 305, 610, 1403, 2806, 7015

Step-4: Factors of 14040

List of positive integer factors of 14040 that divides 14030 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 14030 and 14040. The biggest common factor number is the GCF number.
So the greatest common factor 14030 and 14040 is 10.

Also check out the Least Common Multiple of 14030 and 14040