What is the Greatest Common Factor of 14443 and 14454?

Greatest common factor (GCF) of 14443 and 14454 is 11.

GCF(14443,14454) = 11

We will now calculate the prime factors of 14443 and 14454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14443 and 14454.

How to find the GCF of 14443 and 14454?

We will first find the prime factorization of 14443 and 14454. After we will calculate the factors of 14443 and 14454 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 14454

Prime factors of 14454 are 2, 3, 11, 73. Prime factorization of 14454 in exponential form is:

14454 = 2¹ × 3² × 11¹ × 73¹

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 14454

List of positive integer factors of 14454 that divides 14443 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 73, 99, 146, 198, 219, 438, 657, 803, 1314, 1606, 2409, 4818, 7227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14443 and 14454. The biggest common factor number is the GCF number.
So the greatest common factor 14443 and 14454 is 11.

Also check out the Least Common Multiple of 14443 and 14454