What is the Greatest Common Factor of 24540 and 24559?

Greatest common factor (GCF) of 24540 and 24559 is 1.

GCF(24540,24559) = 1

We will now calculate the prime factors of 24540 and 24559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24540 and 24559.

How to find the GCF of 24540 and 24559?

We will first find the prime factorization of 24540 and 24559. After we will calculate the factors of 24540 and 24559 and find the biggest common factor number .

Step-1: Prime Factorization of 24540

Prime factors of 24540 are 2, 3, 5, 409. Prime factorization of 24540 in exponential form is:

24540 = 2² × 3¹ × 5¹ × 409¹

Step-2: Prime Factorization of 24559

Prime factors of 24559 are 41, 599. Prime factorization of 24559 in exponential form is:

24559 = 41¹ × 599¹

Step-3: Factors of 24540

List of positive integer factors of 24540 that divides 24540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 409, 818, 1227, 1636, 2045, 2454, 4090, 4908, 6135, 8180, 12270

Step-4: Factors of 24559

List of positive integer factors of 24559 that divides 24540 without a remainder.

1, 41, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24540 and 24559. The biggest common factor number is the GCF number.
So the greatest common factor 24540 and 24559 is 1.

Also check out the Least Common Multiple of 24540 and 24559