What is the Greatest Common Factor of 14559 and 14568?

Greatest common factor (GCF) of 14559 and 14568 is 3.

GCF(14559,14568) = 3

We will now calculate the prime factors of 14559 and 14568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14559 and 14568.

How to find the GCF of 14559 and 14568?

We will first find the prime factorization of 14559 and 14568. After we will calculate the factors of 14559 and 14568 and find the biggest common factor number .

Step-1: Prime Factorization of 14559

Prime factors of 14559 are 3, 23, 211. Prime factorization of 14559 in exponential form is:

14559 = 3¹ × 23¹ × 211¹

Step-2: Prime Factorization of 14568

Prime factors of 14568 are 2, 3, 607. Prime factorization of 14568 in exponential form is:

14568 = 2³ × 3¹ × 607¹

Step-3: Factors of 14559

List of positive integer factors of 14559 that divides 14559 without a remainder.

1, 3, 23, 69, 211, 633, 4853

Step-4: Factors of 14568

List of positive integer factors of 14568 that divides 14559 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 607, 1214, 1821, 2428, 3642, 4856, 7284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14559 and 14568. The biggest common factor number is the GCF number.
So the greatest common factor 14559 and 14568 is 3.

Also check out the Least Common Multiple of 14559 and 14568