What is the Greatest Common Factor of 14600 and 14614?

Greatest common factor (GCF) of 14600 and 14614 is 2.

GCF(14600,14614) = 2

We will now calculate the prime factors of 14600 and 14614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14600 and 14614.

How to find the GCF of 14600 and 14614?

We will first find the prime factorization of 14600 and 14614. After we will calculate the factors of 14600 and 14614 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 14614

Prime factors of 14614 are 2, 7307. Prime factorization of 14614 in exponential form is:

14614 = 2¹ × 7307¹

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 14614

List of positive integer factors of 14614 that divides 14600 without a remainder.

1, 2, 7307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14600 and 14614. The biggest common factor number is the GCF number.
So the greatest common factor 14600 and 14614 is 2.

Also check out the Least Common Multiple of 14600 and 14614