What is the Greatest Common Factor of 24416 and 24421?

Greatest common factor (GCF) of 24416 and 24421 is 1.

GCF(24416,24421) = 1

We will now calculate the prime factors of 24416 and 24421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24421.

How to find the GCF of 24416 and 24421?

We will first find the prime factorization of 24416 and 24421. After we will calculate the factors of 24416 and 24421 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24421

Prime factors of 24421 are 24421. Prime factorization of 24421 in exponential form is:

24421 = 24421¹

Step-3: Factors of 24416

List of positive integer factors of 24416 that divides 24416 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

Step-4: Factors of 24421

List of positive integer factors of 24421 that divides 24416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24421. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24421 is 1.

Also check out the Least Common Multiple of 24416 and 24421