What is the Greatest Common Factor of 24420 and 24424?

Greatest common factor (GCF) of 24420 and 24424 is 4.

GCF(24420,24424) = 4

We will now calculate the prime factors of 24420 and 24424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24420 and 24424.

How to find the GCF of 24420 and 24424?

We will first find the prime factorization of 24420 and 24424. After we will calculate the factors of 24420 and 24424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24424

Prime factors of 24424 are 2, 43, 71. Prime factorization of 24424 in exponential form is:

24424 = 2³ × 43¹ × 71¹

Step-3: Factors of 24420

List of positive integer factors of 24420 that divides 24420 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

Step-4: Factors of 24424

List of positive integer factors of 24424 that divides 24420 without a remainder.

1, 2, 4, 8, 43, 71, 86, 142, 172, 284, 344, 568, 3053, 6106, 12212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24420 and 24424. The biggest common factor number is the GCF number.
So the greatest common factor 24420 and 24424 is 4.

Also check out the Least Common Multiple of 24420 and 24424