What is the Greatest Common Factor of 14286 and 14301?

Greatest common factor (GCF) of 14286 and 14301 is 3.

GCF(14286,14301) = 3

We will now calculate the prime factors of 14286 and 14301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14286 and 14301.

How to find the GCF of 14286 and 14301?

We will first find the prime factorization of 14286 and 14301. After we will calculate the factors of 14286 and 14301 and find the biggest common factor number .

Step-1: Prime Factorization of 14286

Prime factors of 14286 are 2, 3, 2381. Prime factorization of 14286 in exponential form is:

14286 = 2¹ × 3¹ × 2381¹

Step-2: Prime Factorization of 14301

Prime factors of 14301 are 3, 7, 227. Prime factorization of 14301 in exponential form is:

14301 = 3² × 7¹ × 227¹

Step-3: Factors of 14286

List of positive integer factors of 14286 that divides 14286 without a remainder.

1, 2, 3, 6, 2381, 4762, 7143

Step-4: Factors of 14301

List of positive integer factors of 14301 that divides 14286 without a remainder.

1, 3, 7, 9, 21, 63, 227, 681, 1589, 2043, 4767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14286 and 14301. The biggest common factor number is the GCF number.
So the greatest common factor 14286 and 14301 is 3.

Also check out the Least Common Multiple of 14286 and 14301