What is the Greatest Common Factor of 24416 and 24430?

Greatest common factor (GCF) of 24416 and 24430 is 14.

GCF(24416,24430) = 14

We will now calculate the prime factors of 24416 and 24430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24430.

How to find the GCF of 24416 and 24430?

We will first find the prime factorization of 24416 and 24430. After we will calculate the factors of 24416 and 24430 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 24430

Prime factors of 24430 are 2, 5, 7, 349. Prime factorization of 24430 in exponential form is:

24430 = 2¹ × 5¹ × 7¹ × 349¹

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 24430

List of positive integer factors of 24430 that divides 24416 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 349, 698, 1745, 2443, 3490, 4886, 12215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24430. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24430 is 14.

Also check out the Least Common Multiple of 24416 and 24430