What is the Greatest Common Factor of 14210 and 14218?

Greatest common factor (GCF) of 14210 and 14218 is 2.

GCF(14210,14218) = 2

We will now calculate the prime factors of 14210 and 14218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14210 and 14218.

How to find the GCF of 14210 and 14218?

We will first find the prime factorization of 14210 and 14218. After we will calculate the factors of 14210 and 14218 and find the biggest common factor number .

Step-1: Prime Factorization of 14210

Prime factors of 14210 are 2, 5, 7, 29. Prime factorization of 14210 in exponential form is:

14210 = 2¹ × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 14218

Prime factors of 14218 are 2, 7109. Prime factorization of 14218 in exponential form is:

14218 = 2¹ × 7109¹

Step-3: Factors of 14210

List of positive integer factors of 14210 that divides 14210 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 49, 58, 70, 98, 145, 203, 245, 290, 406, 490, 1015, 1421, 2030, 2842, 7105

Step-4: Factors of 14218

List of positive integer factors of 14218 that divides 14210 without a remainder.

1, 2, 7109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14210 and 14218. The biggest common factor number is the GCF number.
So the greatest common factor 14210 and 14218 is 2.

Also check out the Least Common Multiple of 14210 and 14218