What is the Greatest Common Factor of 24464 and 24476?

Greatest common factor (GCF) of 24464 and 24476 is 4.

GCF(24464,24476) = 4

We will now calculate the prime factors of 24464 and 24476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24464 and 24476.

How to find the GCF of 24464 and 24476?

We will first find the prime factorization of 24464 and 24476. After we will calculate the factors of 24464 and 24476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24476

Prime factors of 24476 are 2, 29, 211. Prime factorization of 24476 in exponential form is:

24476 = 2² × 29¹ × 211¹

Step-3: Factors of 24464

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

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

Step-4: Factors of 24476

List of positive integer factors of 24476 that divides 24464 without a remainder.

1, 2, 4, 29, 58, 116, 211, 422, 844, 6119, 12238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24464 and 24476. The biggest common factor number is the GCF number.
So the greatest common factor 24464 and 24476 is 4.

Also check out the Least Common Multiple of 24464 and 24476