What is the Greatest Common Factor of 14157 and 14170?

Greatest common factor (GCF) of 14157 and 14170 is 13.

GCF(14157,14170) = 13

We will now calculate the prime factors of 14157 and 14170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14157 and 14170.

How to find the GCF of 14157 and 14170?

We will first find the prime factorization of 14157 and 14170. After we will calculate the factors of 14157 and 14170 and find the biggest common factor number .

Step-1: Prime Factorization of 14157

Prime factors of 14157 are 3, 11, 13. Prime factorization of 14157 in exponential form is:

14157 = 3² × 11² × 13¹

Step-2: Prime Factorization of 14170

Prime factors of 14170 are 2, 5, 13, 109. Prime factorization of 14170 in exponential form is:

14170 = 2¹ × 5¹ × 13¹ × 109¹

Step-3: Factors of 14157

List of positive integer factors of 14157 that divides 14157 without a remainder.

1, 3, 9, 11, 13, 33, 39, 99, 117, 121, 143, 363, 429, 1089, 1287, 1573, 4719

Step-4: Factors of 14170

List of positive integer factors of 14170 that divides 14157 without a remainder.

1, 2, 5, 10, 13, 26, 65, 109, 130, 218, 545, 1090, 1417, 2834, 7085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14157 and 14170. The biggest common factor number is the GCF number.
So the greatest common factor 14157 and 14170 is 13.

Also check out the Least Common Multiple of 14157 and 14170