What is the Greatest Common Factor of 14040 and 14050?

Greatest common factor (GCF) of 14040 and 14050 is 10.

GCF(14040,14050) = 10

We will now calculate the prime factors of 14040 and 14050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14040 and 14050.

How to find the GCF of 14040 and 14050?

We will first find the prime factorization of 14040 and 14050. After we will calculate the factors of 14040 and 14050 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 14050

Prime factors of 14050 are 2, 5, 281. Prime factorization of 14050 in exponential form is:

14050 = 2¹ × 5² × 281¹

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 14050

List of positive integer factors of 14050 that divides 14040 without a remainder.

1, 2, 5, 10, 25, 50, 281, 562, 1405, 2810, 7025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14040 and 14050. The biggest common factor number is the GCF number.
So the greatest common factor 14040 and 14050 is 10.

Also check out the Least Common Multiple of 14040 and 14050