What is the Greatest Common Factor of 14725 and 14730?

Greatest common factor (GCF) of 14725 and 14730 is 5.

GCF(14725,14730) = 5

We will now calculate the prime factors of 14725 and 14730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14725 and 14730.

How to find the GCF of 14725 and 14730?

We will first find the prime factorization of 14725 and 14730. After we will calculate the factors of 14725 and 14730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14730

Prime factors of 14730 are 2, 3, 5, 491. Prime factorization of 14730 in exponential form is:

14730 = 2¹ × 3¹ × 5¹ × 491¹

Step-3: Factors of 14725

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

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

Step-4: Factors of 14730

List of positive integer factors of 14730 that divides 14725 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 491, 982, 1473, 2455, 2946, 4910, 7365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14725 and 14730. The biggest common factor number is the GCF number.
So the greatest common factor 14725 and 14730 is 5.

Also check out the Least Common Multiple of 14725 and 14730