What is the Greatest Common Factor of 14864 and 14876?

Greatest common factor (GCF) of 14864 and 14876 is 4.

GCF(14864,14876) = 4

We will now calculate the prime factors of 14864 and 14876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14864 and 14876.

How to find the GCF of 14864 and 14876?

We will first find the prime factorization of 14864 and 14876. After we will calculate the factors of 14864 and 14876 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 14876

Prime factors of 14876 are 2, 3719. Prime factorization of 14876 in exponential form is:

14876 = 2² × 3719¹

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 14876

List of positive integer factors of 14876 that divides 14864 without a remainder.

1, 2, 4, 3719, 7438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14864 and 14876. The biggest common factor number is the GCF number.
So the greatest common factor 14864 and 14876 is 4.

Also check out the Least Common Multiple of 14864 and 14876