What is the Greatest Common Factor of 14161 and 14175?

Greatest common factor (GCF) of 14161 and 14175 is 7.

GCF(14161,14175) = 7

We will now calculate the prime factors of 14161 and 14175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14161 and 14175.

How to find the GCF of 14161 and 14175?

We will first find the prime factorization of 14161 and 14175. After we will calculate the factors of 14161 and 14175 and find the biggest common factor number .

Step-1: Prime Factorization of 14161

Prime factors of 14161 are 7, 17. Prime factorization of 14161 in exponential form is:

14161 = 7² × 17²

Step-2: Prime Factorization of 14175

Prime factors of 14175 are 3, 5, 7. Prime factorization of 14175 in exponential form is:

14175 = 3⁴ × 5² × 7¹

Step-3: Factors of 14161

List of positive integer factors of 14161 that divides 14161 without a remainder.

1, 7, 17, 49, 119, 289, 833, 2023

Step-4: Factors of 14175

List of positive integer factors of 14175 that divides 14161 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 135, 175, 189, 225, 315, 405, 525, 567, 675, 945, 1575, 2025, 2835, 4725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14161 and 14175. The biggest common factor number is the GCF number.
So the greatest common factor 14161 and 14175 is 7.

Also check out the Least Common Multiple of 14161 and 14175