What is the Greatest Common Factor of 14725 and 14733?

Greatest common factor (GCF) of 14725 and 14733 is 1.

GCF(14725,14733) = 1

We will now calculate the prime factors of 14725 and 14733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14725 and 14733.

How to find the GCF of 14725 and 14733?

We will first find the prime factorization of 14725 and 14733. After we will calculate the factors of 14725 and 14733 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 14733

Prime factors of 14733 are 3, 1637. Prime factorization of 14733 in exponential form is:

14733 = 3² × 1637¹

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 14733

List of positive integer factors of 14733 that divides 14725 without a remainder.

1, 3, 9, 1637, 4911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14725 and 14733. The biggest common factor number is the GCF number.
So the greatest common factor 14725 and 14733 is 1.

Also check out the Least Common Multiple of 14725 and 14733