What is the Greatest Common Factor of 14912 and 14931?

Greatest common factor (GCF) of 14912 and 14931 is 1.

GCF(14912,14931) = 1

We will now calculate the prime factors of 14912 and 14931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14912 and 14931.

How to find the GCF of 14912 and 14931?

We will first find the prime factorization of 14912 and 14931. After we will calculate the factors of 14912 and 14931 and find the biggest common factor number .

Step-1: Prime Factorization of 14912

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

14912 = 2⁶ × 233¹

Step-2: Prime Factorization of 14931

Prime factors of 14931 are 3, 7, 79. Prime factorization of 14931 in exponential form is:

14931 = 3³ × 7¹ × 79¹

Step-3: Factors of 14912

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

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

Step-4: Factors of 14931

List of positive integer factors of 14931 that divides 14912 without a remainder.

1, 3, 7, 9, 21, 27, 63, 79, 189, 237, 553, 711, 1659, 2133, 4977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14912 and 14931. The biggest common factor number is the GCF number.
So the greatest common factor 14912 and 14931 is 1.

Also check out the Least Common Multiple of 14912 and 14931