What is the Greatest Common Factor of 14918 and 14922?

Greatest common factor (GCF) of 14918 and 14922 is 2.

GCF(14918,14922) = 2

We will now calculate the prime factors of 14918 and 14922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14918 and 14922.

How to find the GCF of 14918 and 14922?

We will first find the prime factorization of 14918 and 14922. After we will calculate the factors of 14918 and 14922 and find the biggest common factor number .

Step-1: Prime Factorization of 14918

Prime factors of 14918 are 2, 7459. Prime factorization of 14918 in exponential form is:

14918 = 2¹ × 7459¹

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 14918

List of positive integer factors of 14918 that divides 14918 without a remainder.

1, 2, 7459

Step-4: Factors of 14922

List of positive integer factors of 14922 that divides 14918 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 14918 and 14922. The biggest common factor number is the GCF number.
So the greatest common factor 14918 and 14922 is 2.

Also check out the Least Common Multiple of 14918 and 14922