What is the Greatest Common Factor of 14170 and 14180?

Greatest common factor (GCF) of 14170 and 14180 is 10.

GCF(14170,14180) = 10

We will now calculate the prime factors of 14170 and 14180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14170 and 14180.

How to find the GCF of 14170 and 14180?

We will first find the prime factorization of 14170 and 14180. After we will calculate the factors of 14170 and 14180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14180

Prime factors of 14180 are 2, 5, 709. Prime factorization of 14180 in exponential form is:

14180 = 2² × 5¹ × 709¹

Step-3: Factors of 14170

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

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

Step-4: Factors of 14180

List of positive integer factors of 14180 that divides 14170 without a remainder.

1, 2, 4, 5, 10, 20, 709, 1418, 2836, 3545, 7090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14170 and 14180. The biggest common factor number is the GCF number.
So the greatest common factor 14170 and 14180 is 10.

Also check out the Least Common Multiple of 14170 and 14180