What is the Greatest Common Factor of 14906 and 14924?

Greatest common factor (GCF) of 14906 and 14924 is 2.

GCF(14906,14924) = 2

We will now calculate the prime factors of 14906 and 14924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14906 and 14924.

How to find the GCF of 14906 and 14924?

We will first find the prime factorization of 14906 and 14924. After we will calculate the factors of 14906 and 14924 and find the biggest common factor number .

Step-1: Prime Factorization of 14906

Prime factors of 14906 are 2, 29, 257. Prime factorization of 14906 in exponential form is:

14906 = 2¹ × 29¹ × 257¹

Step-2: Prime Factorization of 14924

Prime factors of 14924 are 2, 7, 13, 41. Prime factorization of 14924 in exponential form is:

14924 = 2² × 7¹ × 13¹ × 41¹

Step-3: Factors of 14906

List of positive integer factors of 14906 that divides 14906 without a remainder.

1, 2, 29, 58, 257, 514, 7453

Step-4: Factors of 14924

List of positive integer factors of 14924 that divides 14906 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 41, 52, 82, 91, 164, 182, 287, 364, 533, 574, 1066, 1148, 2132, 3731, 7462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14906 and 14924. The biggest common factor number is the GCF number.
So the greatest common factor 14906 and 14924 is 2.

Also check out the Least Common Multiple of 14906 and 14924