What is the Greatest Common Factor of 14497 and 14511?

Greatest common factor (GCF) of 14497 and 14511 is 7.

GCF(14497,14511) = 7

We will now calculate the prime factors of 14497 and 14511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14497 and 14511.

How to find the GCF of 14497 and 14511?

We will first find the prime factorization of 14497 and 14511. After we will calculate the factors of 14497 and 14511 and find the biggest common factor number .

Step-1: Prime Factorization of 14497

Prime factors of 14497 are 7, 19, 109. Prime factorization of 14497 in exponential form is:

14497 = 7¹ × 19¹ × 109¹

Step-2: Prime Factorization of 14511

Prime factors of 14511 are 3, 7, 691. Prime factorization of 14511 in exponential form is:

14511 = 3¹ × 7¹ × 691¹

Step-3: Factors of 14497

List of positive integer factors of 14497 that divides 14497 without a remainder.

1, 7, 19, 109, 133, 763, 2071

Step-4: Factors of 14511

List of positive integer factors of 14511 that divides 14497 without a remainder.

1, 3, 7, 21, 691, 2073, 4837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14497 and 14511. The biggest common factor number is the GCF number.
So the greatest common factor 14497 and 14511 is 7.

Also check out the Least Common Multiple of 14497 and 14511