What is the Greatest Common Factor of 24400 and 24420?

Greatest common factor (GCF) of 24400 and 24420 is 20.

GCF(24400,24420) = 20

We will now calculate the prime factors of 24400 and 24420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24400 and 24420.

How to find the GCF of 24400 and 24420?

We will first find the prime factorization of 24400 and 24420. After we will calculate the factors of 24400 and 24420 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 24420

Prime factors of 24420 are 2, 3, 5, 11, 37. Prime factorization of 24420 in exponential form is:

24420 = 2² × 3¹ × 5¹ × 11¹ × 37¹

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 24420

List of positive integer factors of 24420 that divides 24400 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 37, 44, 55, 60, 66, 74, 110, 111, 132, 148, 165, 185, 220, 222, 330, 370, 407, 444, 555, 660, 740, 814, 1110, 1221, 1628, 2035, 2220, 2442, 4070, 4884, 6105, 8140, 12210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24400 and 24420. The biggest common factor number is the GCF number.
So the greatest common factor 24400 and 24420 is 20.

Also check out the Least Common Multiple of 24400 and 24420