What is the Greatest Common Factor of 24530 and 24540?

Greatest common factor (GCF) of 24530 and 24540 is 10.

GCF(24530,24540) = 10

We will now calculate the prime factors of 24530 and 24540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24530 and 24540.

How to find the GCF of 24530 and 24540?

We will first find the prime factorization of 24530 and 24540. After we will calculate the factors of 24530 and 24540 and find the biggest common factor number .

Step-1: Prime Factorization of 24530

Prime factors of 24530 are 2, 5, 11, 223. Prime factorization of 24530 in exponential form is:

24530 = 2¹ × 5¹ × 11¹ × 223¹

Step-2: 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-3: Factors of 24530

List of positive integer factors of 24530 that divides 24530 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 223, 446, 1115, 2230, 2453, 4906, 12265

Step-4: Factors of 24540

List of positive integer factors of 24540 that divides 24530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24530 and 24540. The biggest common factor number is the GCF number.
So the greatest common factor 24530 and 24540 is 10.

Also check out the Least Common Multiple of 24530 and 24540