What is the Greatest Common Factor of 24400 and 24409?

Greatest common factor (GCF) of 24400 and 24409 is 1.

GCF(24400,24409) = 1

We will now calculate the prime factors of 24400 and 24409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24400 and 24409.

How to find the GCF of 24400 and 24409?

We will first find the prime factorization of 24400 and 24409. After we will calculate the factors of 24400 and 24409 and find the biggest common factor number .

Step-1: Prime Factorization of 24400

Prime factors of 24400 are 2, 5, 61. Prime factorization of 24400 in exponential form is:

24400 = 2⁴ × 5² × 61¹

Step-2: Prime Factorization of 24409

Prime factors of 24409 are 7, 11, 317. Prime factorization of 24409 in exponential form is:

24409 = 7¹ × 11¹ × 317¹

Step-3: Factors of 24400

List of positive integer factors of 24400 that divides 24400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 61, 80, 100, 122, 200, 244, 305, 400, 488, 610, 976, 1220, 1525, 2440, 3050, 4880, 6100, 12200

Step-4: Factors of 24409

List of positive integer factors of 24409 that divides 24400 without a remainder.

1, 7, 11, 77, 317, 2219, 3487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24400 and 24409. The biggest common factor number is the GCF number.
So the greatest common factor 24400 and 24409 is 1.

Also check out the Least Common Multiple of 24400 and 24409