What is the Greatest Common Factor of 14174 and 14193?

Greatest common factor (GCF) of 14174 and 14193 is 19.

GCF(14174,14193) = 19

We will now calculate the prime factors of 14174 and 14193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14174 and 14193.

How to find the GCF of 14174 and 14193?

We will first find the prime factorization of 14174 and 14193. After we will calculate the factors of 14174 and 14193 and find the biggest common factor number .

Step-1: Prime Factorization of 14174

Prime factors of 14174 are 2, 19, 373. Prime factorization of 14174 in exponential form is:

14174 = 2¹ × 19¹ × 373¹

Step-2: Prime Factorization of 14193

Prime factors of 14193 are 3, 19, 83. Prime factorization of 14193 in exponential form is:

14193 = 3² × 19¹ × 83¹

Step-3: Factors of 14174

List of positive integer factors of 14174 that divides 14174 without a remainder.

1, 2, 19, 38, 373, 746, 7087

Step-4: Factors of 14193

List of positive integer factors of 14193 that divides 14174 without a remainder.

1, 3, 9, 19, 57, 83, 171, 249, 747, 1577, 4731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14174 and 14193. The biggest common factor number is the GCF number.
So the greatest common factor 14174 and 14193 is 19.

Also check out the Least Common Multiple of 14174 and 14193