What is the Greatest Common Factor of 14075 and 14089?

Greatest common factor (GCF) of 14075 and 14089 is 1.

GCF(14075,14089) = 1

We will now calculate the prime factors of 14075 and 14089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14075 and 14089.

How to find the GCF of 14075 and 14089?

We will first find the prime factorization of 14075 and 14089. After we will calculate the factors of 14075 and 14089 and find the biggest common factor number .

Step-1: Prime Factorization of 14075

Prime factors of 14075 are 5, 563. Prime factorization of 14075 in exponential form is:

14075 = 5² × 563¹

Step-2: Prime Factorization of 14089

Prime factors of 14089 are 73, 193. Prime factorization of 14089 in exponential form is:

14089 = 73¹ × 193¹

Step-3: Factors of 14075

List of positive integer factors of 14075 that divides 14075 without a remainder.

1, 5, 25, 563, 2815

Step-4: Factors of 14089

List of positive integer factors of 14089 that divides 14075 without a remainder.

1, 73, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14075 and 14089. The biggest common factor number is the GCF number.
So the greatest common factor 14075 and 14089 is 1.

Also check out the Least Common Multiple of 14075 and 14089