What is the Greatest Common Factor of 24416 and 24426?

Greatest common factor (GCF) of 24416 and 24426 is 2.

GCF(24416,24426) = 2

We will now calculate the prime factors of 24416 and 24426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24416 and 24426.

How to find the GCF of 24416 and 24426?

We will first find the prime factorization of 24416 and 24426. After we will calculate the factors of 24416 and 24426 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 24426

Prime factors of 24426 are 2, 3, 23, 59. Prime factorization of 24426 in exponential form is:

24426 = 2¹ × 3² × 23¹ × 59¹

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 24426

List of positive integer factors of 24426 that divides 24416 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 59, 69, 118, 138, 177, 207, 354, 414, 531, 1062, 1357, 2714, 4071, 8142, 12213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24416 and 24426. The biggest common factor number is the GCF number.
So the greatest common factor 24416 and 24426 is 2.

Also check out the Least Common Multiple of 24416 and 24426