What is the Greatest Common Factor of 14864 and 14878?

Greatest common factor (GCF) of 14864 and 14878 is 2.

GCF(14864,14878) = 2

We will now calculate the prime factors of 14864 and 14878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14864 and 14878.

How to find the GCF of 14864 and 14878?

We will first find the prime factorization of 14864 and 14878. After we will calculate the factors of 14864 and 14878 and find the biggest common factor number .

Step-1: Prime Factorization of 14864

Prime factors of 14864 are 2, 929. Prime factorization of 14864 in exponential form is:

14864 = 2⁴ × 929¹

Step-2: Prime Factorization of 14878

Prime factors of 14878 are 2, 43, 173. Prime factorization of 14878 in exponential form is:

14878 = 2¹ × 43¹ × 173¹

Step-3: Factors of 14864

List of positive integer factors of 14864 that divides 14864 without a remainder.

1, 2, 4, 8, 16, 929, 1858, 3716, 7432

Step-4: Factors of 14878

List of positive integer factors of 14878 that divides 14864 without a remainder.

1, 2, 43, 86, 173, 346, 7439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14864 and 14878. The biggest common factor number is the GCF number.
So the greatest common factor 14864 and 14878 is 2.

Also check out the Least Common Multiple of 14864 and 14878