What is the Greatest Common Factor of 24456 and 24464?

Greatest common factor (GCF) of 24456 and 24464 is 8.

GCF(24456,24464) = 8

We will now calculate the prime factors of 24456 and 24464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24456 and 24464.

How to find the GCF of 24456 and 24464?

We will first find the prime factorization of 24456 and 24464. After we will calculate the factors of 24456 and 24464 and find the biggest common factor number .

Step-1: Prime Factorization of 24456

Prime factors of 24456 are 2, 3, 1019. Prime factorization of 24456 in exponential form is:

24456 = 2³ × 3¹ × 1019¹

Step-2: Prime Factorization of 24464

Prime factors of 24464 are 2, 11, 139. Prime factorization of 24464 in exponential form is:

24464 = 2⁴ × 11¹ × 139¹

Step-3: Factors of 24456

List of positive integer factors of 24456 that divides 24456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1019, 2038, 3057, 4076, 6114, 8152, 12228

Step-4: Factors of 24464

List of positive integer factors of 24464 that divides 24456 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 139, 176, 278, 556, 1112, 1529, 2224, 3058, 6116, 12232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24456 and 24464. The biggest common factor number is the GCF number.
So the greatest common factor 24456 and 24464 is 8.

Also check out the Least Common Multiple of 24456 and 24464