What is the Greatest Common Factor of 14301 and 14307?

Greatest common factor (GCF) of 14301 and 14307 is 3.

GCF(14301,14307) = 3

We will now calculate the prime factors of 14301 and 14307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14301 and 14307.

How to find the GCF of 14301 and 14307?

We will first find the prime factorization of 14301 and 14307. After we will calculate the factors of 14301 and 14307 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14307

Prime factors of 14307 are 3, 19, 251. Prime factorization of 14307 in exponential form is:

14307 = 3¹ × 19¹ × 251¹

Step-3: Factors of 14301

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

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

Step-4: Factors of 14307

List of positive integer factors of 14307 that divides 14301 without a remainder.

1, 3, 19, 57, 251, 753, 4769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14301 and 14307. The biggest common factor number is the GCF number.
So the greatest common factor 14301 and 14307 is 3.

Also check out the Least Common Multiple of 14301 and 14307