What is the Greatest Common Factor of 14900 and 14912?

Greatest common factor (GCF) of 14900 and 14912 is 4.

GCF(14900,14912) = 4

We will now calculate the prime factors of 14900 and 14912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14900 and 14912.

How to find the GCF of 14900 and 14912?

We will first find the prime factorization of 14900 and 14912. After we will calculate the factors of 14900 and 14912 and find the biggest common factor number .

Step-1: Prime Factorization of 14900

Prime factors of 14900 are 2, 5, 149. Prime factorization of 14900 in exponential form is:

14900 = 2² × 5² × 149¹

Step-2: Prime Factorization of 14912

Prime factors of 14912 are 2, 233. Prime factorization of 14912 in exponential form is:

14912 = 2⁶ × 233¹

Step-3: Factors of 14900

List of positive integer factors of 14900 that divides 14900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 149, 298, 596, 745, 1490, 2980, 3725, 7450

Step-4: Factors of 14912

List of positive integer factors of 14912 that divides 14900 without a remainder.

1, 2, 4, 8, 16, 32, 64, 233, 466, 932, 1864, 3728, 7456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14900 and 14912. The biggest common factor number is the GCF number.
So the greatest common factor 14900 and 14912 is 4.

Also check out the Least Common Multiple of 14900 and 14912