What is the Greatest Common Factor of 14914 and 14922?

Greatest common factor (GCF) of 14914 and 14922 is 2.

GCF(14914,14922) = 2

We will now calculate the prime factors of 14914 and 14922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14914 and 14922.

How to find the GCF of 14914 and 14922?

We will first find the prime factorization of 14914 and 14922. After we will calculate the factors of 14914 and 14922 and find the biggest common factor number .

Step-1: Prime Factorization of 14914

Prime factors of 14914 are 2, 7457. Prime factorization of 14914 in exponential form is:

14914 = 2¹ × 7457¹

Step-2: Prime Factorization of 14922

Prime factors of 14922 are 2, 3, 829. Prime factorization of 14922 in exponential form is:

14922 = 2¹ × 3² × 829¹

Step-3: Factors of 14914

List of positive integer factors of 14914 that divides 14914 without a remainder.

1, 2, 7457

Step-4: Factors of 14922

List of positive integer factors of 14922 that divides 14914 without a remainder.

1, 2, 3, 6, 9, 18, 829, 1658, 2487, 4974, 7461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14914 and 14922. The biggest common factor number is the GCF number.
So the greatest common factor 14914 and 14922 is 2.

Also check out the Least Common Multiple of 14914 and 14922