What is the Greatest Common Factor of 24356 and 24368?

Greatest common factor (GCF) of 24356 and 24368 is 4.

GCF(24356,24368) = 4

We will now calculate the prime factors of 24356 and 24368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24356 and 24368.

How to find the GCF of 24356 and 24368?

We will first find the prime factorization of 24356 and 24368. After we will calculate the factors of 24356 and 24368 and find the biggest common factor number .

Step-1: Prime Factorization of 24356

Prime factors of 24356 are 2, 6089. Prime factorization of 24356 in exponential form is:

24356 = 2² × 6089¹

Step-2: Prime Factorization of 24368

Prime factors of 24368 are 2, 1523. Prime factorization of 24368 in exponential form is:

24368 = 2⁴ × 1523¹

Step-3: Factors of 24356

List of positive integer factors of 24356 that divides 24356 without a remainder.

1, 2, 4, 6089, 12178

Step-4: Factors of 24368

List of positive integer factors of 24368 that divides 24356 without a remainder.

1, 2, 4, 8, 16, 1523, 3046, 6092, 12184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24356 and 24368. The biggest common factor number is the GCF number.
So the greatest common factor 24356 and 24368 is 4.

Also check out the Least Common Multiple of 24356 and 24368