What is the Greatest Common Factor of 14807 and 14824?

Greatest common factor (GCF) of 14807 and 14824 is 17.

GCF(14807,14824) = 17

We will now calculate the prime factors of 14807 and 14824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14807 and 14824.

How to find the GCF of 14807 and 14824?

We will first find the prime factorization of 14807 and 14824. After we will calculate the factors of 14807 and 14824 and find the biggest common factor number .

Step-1: Prime Factorization of 14807

Prime factors of 14807 are 13, 17, 67. Prime factorization of 14807 in exponential form is:

14807 = 13¹ × 17¹ × 67¹

Step-2: Prime Factorization of 14824

Prime factors of 14824 are 2, 17, 109. Prime factorization of 14824 in exponential form is:

14824 = 2³ × 17¹ × 109¹

Step-3: Factors of 14807

List of positive integer factors of 14807 that divides 14807 without a remainder.

1, 13, 17, 67, 221, 871, 1139

Step-4: Factors of 14824

List of positive integer factors of 14824 that divides 14807 without a remainder.

1, 2, 4, 8, 17, 34, 68, 109, 136, 218, 436, 872, 1853, 3706, 7412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14807 and 14824. The biggest common factor number is the GCF number.
So the greatest common factor 14807 and 14824 is 17.

Also check out the Least Common Multiple of 14807 and 14824