What is the Greatest Common Factor of 14785 and 14805?

Greatest common factor (GCF) of 14785 and 14805 is 5.

GCF(14785,14805) = 5

We will now calculate the prime factors of 14785 and 14805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14785 and 14805.

How to find the GCF of 14785 and 14805?

We will first find the prime factorization of 14785 and 14805. After we will calculate the factors of 14785 and 14805 and find the biggest common factor number .

Step-1: Prime Factorization of 14785

Prime factors of 14785 are 5, 2957. Prime factorization of 14785 in exponential form is:

14785 = 5¹ × 2957¹

Step-2: 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-3: Factors of 14785

List of positive integer factors of 14785 that divides 14785 without a remainder.

1, 5, 2957

Step-4: Factors of 14805

List of positive integer factors of 14805 that divides 14785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14785 and 14805. The biggest common factor number is the GCF number.
So the greatest common factor 14785 and 14805 is 5.

Also check out the Least Common Multiple of 14785 and 14805