What is the Greatest Common Factor of 14805 and 14809?

Greatest common factor (GCF) of 14805 and 14809 is 1.

GCF(14805,14809) = 1

We will now calculate the prime factors of 14805 and 14809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14805 and 14809.

How to find the GCF of 14805 and 14809?

We will first find the prime factorization of 14805 and 14809. After we will calculate the factors of 14805 and 14809 and find the biggest common factor number .

Step-1: Prime Factorization of 14805

Prime factors of 14805 are 3, 5, 7, 47. Prime factorization of 14805 in exponential form is:

14805 = 3² × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 14809

Prime factors of 14809 are 59, 251. Prime factorization of 14809 in exponential form is:

14809 = 59¹ × 251¹

Step-3: Factors of 14805

List of positive integer factors of 14805 that divides 14805 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 47, 63, 105, 141, 235, 315, 329, 423, 705, 987, 1645, 2115, 2961, 4935

Step-4: Factors of 14809

List of positive integer factors of 14809 that divides 14805 without a remainder.

1, 59, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14805 and 14809. The biggest common factor number is the GCF number.
So the greatest common factor 14805 and 14809 is 1.

Also check out the Least Common Multiple of 14805 and 14809