What is the Greatest Common Factor of 14180 and 14198?

Greatest common factor (GCF) of 14180 and 14198 is 2.

GCF(14180,14198) = 2

We will now calculate the prime factors of 14180 and 14198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14180 and 14198.

How to find the GCF of 14180 and 14198?

We will first find the prime factorization of 14180 and 14198. After we will calculate the factors of 14180 and 14198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14198

Prime factors of 14198 are 2, 31, 229. Prime factorization of 14198 in exponential form is:

14198 = 2¹ × 31¹ × 229¹

Step-3: Factors of 14180

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

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

Step-4: Factors of 14198

List of positive integer factors of 14198 that divides 14180 without a remainder.

1, 2, 31, 62, 229, 458, 7099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14180 and 14198. The biggest common factor number is the GCF number.
So the greatest common factor 14180 and 14198 is 2.

Also check out the Least Common Multiple of 14180 and 14198