What is the Greatest Common Factor of 24540 and 24545?

Greatest common factor (GCF) of 24540 and 24545 is 5.

GCF(24540,24545) = 5

We will now calculate the prime factors of 24540 and 24545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24540 and 24545.

How to find the GCF of 24540 and 24545?

We will first find the prime factorization of 24540 and 24545. After we will calculate the factors of 24540 and 24545 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 24545

Prime factors of 24545 are 5, 4909. Prime factorization of 24545 in exponential form is:

24545 = 5¹ × 4909¹

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 24545

List of positive integer factors of 24545 that divides 24540 without a remainder.

1, 5, 4909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24540 and 24545. The biggest common factor number is the GCF number.
So the greatest common factor 24540 and 24545 is 5.

Also check out the Least Common Multiple of 24540 and 24545