What is the Greatest Common Factor of 24400 and 24419?

Greatest common factor (GCF) of 24400 and 24419 is 1.

GCF(24400,24419) = 1

We will now calculate the prime factors of 24400 and 24419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24400 and 24419.

How to find the GCF of 24400 and 24419?

We will first find the prime factorization of 24400 and 24419. After we will calculate the factors of 24400 and 24419 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 24419

Prime factors of 24419 are 24419. Prime factorization of 24419 in exponential form is:

24419 = 24419¹

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 24419

List of positive integer factors of 24419 that divides 24400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24400 and 24419. The biggest common factor number is the GCF number.
So the greatest common factor 24400 and 24419 is 1.

Also check out the Least Common Multiple of 24400 and 24419