What is the Greatest Common Factor of 14535 and 14540?

Greatest common factor (GCF) of 14535 and 14540 is 5.

GCF(14535,14540) = 5

We will now calculate the prime factors of 14535 and 14540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14535 and 14540.

How to find the GCF of 14535 and 14540?

We will first find the prime factorization of 14535 and 14540. After we will calculate the factors of 14535 and 14540 and find the biggest common factor number .

Step-1: Prime Factorization of 14535

Prime factors of 14535 are 3, 5, 17, 19. Prime factorization of 14535 in exponential form is:

14535 = 3² × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 14540

Prime factors of 14540 are 2, 5, 727. Prime factorization of 14540 in exponential form is:

14540 = 2² × 5¹ × 727¹

Step-3: Factors of 14535

List of positive integer factors of 14535 that divides 14535 without a remainder.

1, 3, 5, 9, 15, 17, 19, 45, 51, 57, 85, 95, 153, 171, 255, 285, 323, 765, 855, 969, 1615, 2907, 4845

Step-4: Factors of 14540

List of positive integer factors of 14540 that divides 14535 without a remainder.

1, 2, 4, 5, 10, 20, 727, 1454, 2908, 3635, 7270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14535 and 14540. The biggest common factor number is the GCF number.
So the greatest common factor 14535 and 14540 is 5.

Also check out the Least Common Multiple of 14535 and 14540