What is the Greatest Common Factor of 14805 and 14825?

Greatest common factor (GCF) of 14805 and 14825 is 5.

GCF(14805,14825) = 5

We will now calculate the prime factors of 14805 and 14825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14805 and 14825.

How to find the GCF of 14805 and 14825?

We will first find the prime factorization of 14805 and 14825. After we will calculate the factors of 14805 and 14825 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 14825

Prime factors of 14825 are 5, 593. Prime factorization of 14825 in exponential form is:

14825 = 5² × 593¹

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 14825

List of positive integer factors of 14825 that divides 14805 without a remainder.

1, 5, 25, 593, 2965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14805 and 14825. The biggest common factor number is the GCF number.
So the greatest common factor 14805 and 14825 is 5.

Also check out the Least Common Multiple of 14805 and 14825