What is the Greatest Common Factor of 24400 and 24416?

Greatest common factor (GCF) of 24400 and 24416 is 16.

GCF(24400,24416) = 16

We will now calculate the prime factors of 24400 and 24416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24400 and 24416.

How to find the GCF of 24400 and 24416?

We will first find the prime factorization of 24400 and 24416. After we will calculate the factors of 24400 and 24416 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 24416

Prime factors of 24416 are 2, 7, 109. Prime factorization of 24416 in exponential form is:

24416 = 2⁵ × 7¹ × 109¹

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 24416

List of positive integer factors of 24416 that divides 24400 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 109, 112, 218, 224, 436, 763, 872, 1526, 1744, 3052, 3488, 6104, 12208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24400 and 24416. The biggest common factor number is the GCF number.
So the greatest common factor 24400 and 24416 is 16.

Also check out the Least Common Multiple of 24400 and 24416