What is the Greatest Common Factor of 14406 and 14414?

Greatest common factor (GCF) of 14406 and 14414 is 2.

GCF(14406,14414) = 2

We will now calculate the prime factors of 14406 and 14414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14406 and 14414.

How to find the GCF of 14406 and 14414?

We will first find the prime factorization of 14406 and 14414. After we will calculate the factors of 14406 and 14414 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 14414

Prime factors of 14414 are 2, 7207. Prime factorization of 14414 in exponential form is:

14414 = 2¹ × 7207¹

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 14414

List of positive integer factors of 14414 that divides 14406 without a remainder.

1, 2, 7207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14406 and 14414. The biggest common factor number is the GCF number.
So the greatest common factor 14406 and 14414 is 2.

Also check out the Least Common Multiple of 14406 and 14414