What is the Greatest Common Factor of 14600 and 14609?

Greatest common factor (GCF) of 14600 and 14609 is 1.

GCF(14600,14609) = 1

We will now calculate the prime factors of 14600 and 14609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14600 and 14609.

How to find the GCF of 14600 and 14609?

We will first find the prime factorization of 14600 and 14609. After we will calculate the factors of 14600 and 14609 and find the biggest common factor number .

Step-1: Prime Factorization of 14600

Prime factors of 14600 are 2, 5, 73. Prime factorization of 14600 in exponential form is:

14600 = 2³ × 5² × 73¹

Step-2: Prime Factorization of 14609

Prime factors of 14609 are 7, 2087. Prime factorization of 14609 in exponential form is:

14609 = 7¹ × 2087¹

Step-3: Factors of 14600

List of positive integer factors of 14600 that divides 14600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 73, 100, 146, 200, 292, 365, 584, 730, 1460, 1825, 2920, 3650, 7300

Step-4: Factors of 14609

List of positive integer factors of 14609 that divides 14600 without a remainder.

1, 7, 2087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14600 and 14609. The biggest common factor number is the GCF number.
So the greatest common factor 14600 and 14609 is 1.

Also check out the Least Common Multiple of 14600 and 14609