What is the Greatest Common Factor of 14725 and 14738?

Greatest common factor (GCF) of 14725 and 14738 is 1.

GCF(14725,14738) = 1

We will now calculate the prime factors of 14725 and 14738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14725 and 14738.

How to find the GCF of 14725 and 14738?

We will first find the prime factorization of 14725 and 14738. After we will calculate the factors of 14725 and 14738 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 14738

Prime factors of 14738 are 2, 7369. Prime factorization of 14738 in exponential form is:

14738 = 2¹ × 7369¹

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 14738

List of positive integer factors of 14738 that divides 14725 without a remainder.

1, 2, 7369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14725 and 14738. The biggest common factor number is the GCF number.
So the greatest common factor 14725 and 14738 is 1.

Also check out the Least Common Multiple of 14725 and 14738