What is the Greatest Common Factor of 14705 and 14725?

Greatest common factor (GCF) of 14705 and 14725 is 5.

GCF(14705,14725) = 5

We will now calculate the prime factors of 14705 and 14725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14705 and 14725.

How to find the GCF of 14705 and 14725?

We will first find the prime factorization of 14705 and 14725. After we will calculate the factors of 14705 and 14725 and find the biggest common factor number .

Step-1: Prime Factorization of 14705

Prime factors of 14705 are 5, 17, 173. Prime factorization of 14705 in exponential form is:

14705 = 5¹ × 17¹ × 173¹

Step-2: Prime Factorization of 14725

Prime factors of 14725 are 5, 19, 31. Prime factorization of 14725 in exponential form is:

14725 = 5² × 19¹ × 31¹

Step-3: Factors of 14705

List of positive integer factors of 14705 that divides 14705 without a remainder.

1, 5, 17, 85, 173, 865, 2941

Step-4: Factors of 14725

List of positive integer factors of 14725 that divides 14705 without a remainder.

1, 5, 19, 25, 31, 95, 155, 475, 589, 775, 2945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14705 and 14725. The biggest common factor number is the GCF number.
So the greatest common factor 14705 and 14725 is 5.

Also check out the Least Common Multiple of 14705 and 14725