What is the Greatest Common Factor of 14406 and 14422?

Greatest common factor (GCF) of 14406 and 14422 is 2.

GCF(14406,14422) = 2

We will now calculate the prime factors of 14406 and 14422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14406 and 14422.

How to find the GCF of 14406 and 14422?

We will first find the prime factorization of 14406 and 14422. After we will calculate the factors of 14406 and 14422 and find the biggest common factor number .

Step-1: Prime Factorization of 14406

Prime factors of 14406 are 2, 3, 7. Prime factorization of 14406 in exponential form is:

14406 = 2¹ × 3¹ × 7⁴

Step-2: Prime Factorization of 14422

Prime factors of 14422 are 2, 7211. Prime factorization of 14422 in exponential form is:

14422 = 2¹ × 7211¹

Step-3: Factors of 14406

List of positive integer factors of 14406 that divides 14406 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058, 2401, 4802, 7203

Step-4: Factors of 14422

List of positive integer factors of 14422 that divides 14406 without a remainder.

1, 2, 7211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14406 and 14422. The biggest common factor number is the GCF number.
So the greatest common factor 14406 and 14422 is 2.

Also check out the Least Common Multiple of 14406 and 14422