What is the Greatest Common Factor of 14600 and 14615?

Greatest common factor (GCF) of 14600 and 14615 is 5.

GCF(14600,14615) = 5

We will now calculate the prime factors of 14600 and 14615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14600 and 14615.

How to find the GCF of 14600 and 14615?

We will first find the prime factorization of 14600 and 14615. After we will calculate the factors of 14600 and 14615 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 14615

Prime factors of 14615 are 5, 37, 79. Prime factorization of 14615 in exponential form is:

14615 = 5¹ × 37¹ × 79¹

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 14615

List of positive integer factors of 14615 that divides 14600 without a remainder.

1, 5, 37, 79, 185, 395, 2923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14600 and 14615. The biggest common factor number is the GCF number.
So the greatest common factor 14600 and 14615 is 5.

Also check out the Least Common Multiple of 14600 and 14615