What is the Greatest Common Factor of 14806 and 14817?

Greatest common factor (GCF) of 14806 and 14817 is 11.

GCF(14806,14817) = 11

We will now calculate the prime factors of 14806 and 14817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14806 and 14817.

How to find the GCF of 14806 and 14817?

We will first find the prime factorization of 14806 and 14817. After we will calculate the factors of 14806 and 14817 and find the biggest common factor number .

Step-1: Prime Factorization of 14806

Prime factors of 14806 are 2, 11, 673. Prime factorization of 14806 in exponential form is:

14806 = 2¹ × 11¹ × 673¹

Step-2: Prime Factorization of 14817

Prime factors of 14817 are 3, 11, 449. Prime factorization of 14817 in exponential form is:

14817 = 3¹ × 11¹ × 449¹

Step-3: Factors of 14806

List of positive integer factors of 14806 that divides 14806 without a remainder.

1, 2, 11, 22, 673, 1346, 7403

Step-4: Factors of 14817

List of positive integer factors of 14817 that divides 14806 without a remainder.

1, 3, 11, 33, 449, 1347, 4939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14806 and 14817. The biggest common factor number is the GCF number.
So the greatest common factor 14806 and 14817 is 11.

Also check out the Least Common Multiple of 14806 and 14817