What is the Greatest Common Factor of 24540 and 24560?

Greatest common factor (GCF) of 24540 and 24560 is 20.

GCF(24540,24560) = 20

We will now calculate the prime factors of 24540 and 24560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24540 and 24560.

How to find the GCF of 24540 and 24560?

We will first find the prime factorization of 24540 and 24560. After we will calculate the factors of 24540 and 24560 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 24560

Prime factors of 24560 are 2, 5, 307. Prime factorization of 24560 in exponential form is:

24560 = 2⁴ × 5¹ × 307¹

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 24560

List of positive integer factors of 24560 that divides 24540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 307, 614, 1228, 1535, 2456, 3070, 4912, 6140, 12280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24540 and 24560. The biggest common factor number is the GCF number.
So the greatest common factor 24540 and 24560 is 20.

Also check out the Least Common Multiple of 24540 and 24560