What is the Greatest Common Factor of 14340 and 14350?

Greatest common factor (GCF) of 14340 and 14350 is 10.

GCF(14340,14350) = 10

We will now calculate the prime factors of 14340 and 14350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14340 and 14350.

How to find the GCF of 14340 and 14350?

We will first find the prime factorization of 14340 and 14350. After we will calculate the factors of 14340 and 14350 and find the biggest common factor number .

Step-1: Prime Factorization of 14340

Prime factors of 14340 are 2, 3, 5, 239. Prime factorization of 14340 in exponential form is:

14340 = 2² × 3¹ × 5¹ × 239¹

Step-2: Prime Factorization of 14350

Prime factors of 14350 are 2, 5, 7, 41. Prime factorization of 14350 in exponential form is:

14350 = 2¹ × 5² × 7¹ × 41¹

Step-3: Factors of 14340

List of positive integer factors of 14340 that divides 14340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 239, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 7170

Step-4: Factors of 14350

List of positive integer factors of 14350 that divides 14340 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 41, 50, 70, 82, 175, 205, 287, 350, 410, 574, 1025, 1435, 2050, 2870, 7175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14340 and 14350. The biggest common factor number is the GCF number.
So the greatest common factor 14340 and 14350 is 10.

Also check out the Least Common Multiple of 14340 and 14350