What is the Greatest Common Factor of 14529 and 14535?

Greatest common factor (GCF) of 14529 and 14535 is 3.

GCF(14529,14535) = 3

We will now calculate the prime factors of 14529 and 14535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14529 and 14535.

How to find the GCF of 14529 and 14535?

We will first find the prime factorization of 14529 and 14535. After we will calculate the factors of 14529 and 14535 and find the biggest common factor number .

Step-1: Prime Factorization of 14529

Prime factors of 14529 are 3, 29, 167. Prime factorization of 14529 in exponential form is:

14529 = 3¹ × 29¹ × 167¹

Step-2: 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-3: Factors of 14529

List of positive integer factors of 14529 that divides 14529 without a remainder.

1, 3, 29, 87, 167, 501, 4843

Step-4: Factors of 14535

List of positive integer factors of 14535 that divides 14529 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14529 and 14535. The biggest common factor number is the GCF number.
So the greatest common factor 14529 and 14535 is 3.

Also check out the Least Common Multiple of 14529 and 14535