What is the Greatest Common Factor of 24416 and 24433?

Greatest common factor (GCF) of 24416 and 24433 is 1.

GCF(24416,24433) = 1

We will now calculate the prime factors of 24416 and 24433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24433.

How to find the GCF of 24416 and 24433?

We will first find the prime factorization of 24416 and 24433. After we will calculate the factors of 24416 and 24433 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 24433

Prime factors of 24433 are 53, 461. Prime factorization of 24433 in exponential form is:

24433 = 53¹ × 461¹

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 24433

List of positive integer factors of 24433 that divides 24416 without a remainder.

1, 53, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24433. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24433 is 1.

Also check out the Least Common Multiple of 24416 and 24433