What is the Greatest Common Factor of 14443 and 14456?

Greatest common factor (GCF) of 14443 and 14456 is 13.

GCF(14443,14456) = 13

We will now calculate the prime factors of 14443 and 14456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14443 and 14456.

How to find the GCF of 14443 and 14456?

We will first find the prime factorization of 14443 and 14456. After we will calculate the factors of 14443 and 14456 and find the biggest common factor number .

Step-1: Prime Factorization of 14443

Prime factors of 14443 are 11, 13, 101. Prime factorization of 14443 in exponential form is:

14443 = 11¹ × 13¹ × 101¹

Step-2: Prime Factorization of 14456

Prime factors of 14456 are 2, 13, 139. Prime factorization of 14456 in exponential form is:

14456 = 2³ × 13¹ × 139¹

Step-3: Factors of 14443

List of positive integer factors of 14443 that divides 14443 without a remainder.

1, 11, 13, 101, 143, 1111, 1313

Step-4: Factors of 14456

List of positive integer factors of 14456 that divides 14443 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 139, 278, 556, 1112, 1807, 3614, 7228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14443 and 14456. The biggest common factor number is the GCF number.
So the greatest common factor 14443 and 14456 is 13.

Also check out the Least Common Multiple of 14443 and 14456