What is the Greatest Common Factor of 24540 and 24550?

Greatest common factor (GCF) of 24540 and 24550 is 10.

GCF(24540,24550) = 10

We will now calculate the prime factors of 24540 and 24550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24540 and 24550.

How to find the GCF of 24540 and 24550?

We will first find the prime factorization of 24540 and 24550. After we will calculate the factors of 24540 and 24550 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 24550

Prime factors of 24550 are 2, 5, 491. Prime factorization of 24550 in exponential form is:

24550 = 2¹ × 5² × 491¹

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 24550

List of positive integer factors of 24550 that divides 24540 without a remainder.

1, 2, 5, 10, 25, 50, 491, 982, 2455, 4910, 12275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24540 and 24550. The biggest common factor number is the GCF number.
So the greatest common factor 24540 and 24550 is 10.

Also check out the Least Common Multiple of 24540 and 24550