What is the Greatest Common Factor of 24416 and 24432?

Greatest common factor (GCF) of 24416 and 24432 is 16.

GCF(24416,24432) = 16

We will now calculate the prime factors of 24416 and 24432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24432.

How to find the GCF of 24416 and 24432?

We will first find the prime factorization of 24416 and 24432. After we will calculate the factors of 24416 and 24432 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 24432

Prime factors of 24432 are 2, 3, 509. Prime factorization of 24432 in exponential form is:

24432 = 2⁴ × 3¹ × 509¹

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 24432

List of positive integer factors of 24432 that divides 24416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24432. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24432 is 16.

Also check out the Least Common Multiple of 24416 and 24432