What is the Greatest Common Factor of 14243 and 14261?

Greatest common factor (GCF) of 14243 and 14261 is 1.

GCF(14243,14261) = 1

We will now calculate the prime factors of 14243 and 14261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14243 and 14261.

How to find the GCF of 14243 and 14261?

We will first find the prime factorization of 14243 and 14261. After we will calculate the factors of 14243 and 14261 and find the biggest common factor number .

Step-1: Prime Factorization of 14243

Prime factors of 14243 are 14243. Prime factorization of 14243 in exponential form is:

14243 = 14243¹

Step-2: Prime Factorization of 14261

Prime factors of 14261 are 13, 1097. Prime factorization of 14261 in exponential form is:

14261 = 13¹ × 1097¹

Step-3: Factors of 14243

List of positive integer factors of 14243 that divides 14243 without a remainder.

Step-4: Factors of 14261

List of positive integer factors of 14261 that divides 14243 without a remainder.

1, 13, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14243 and 14261. The biggest common factor number is the GCF number.
So the greatest common factor 14243 and 14261 is 1.

Also check out the Least Common Multiple of 14243 and 14261