What is the Greatest Common Factor of 24048 and 24056?

Greatest common factor (GCF) of 24048 and 24056 is 8.

GCF(24048,24056) = 8

We will now calculate the prime factors of 24048 and 24056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24048 and 24056.

How to find the GCF of 24048 and 24056?

We will first find the prime factorization of 24048 and 24056. After we will calculate the factors of 24048 and 24056 and find the biggest common factor number .

Step-1: Prime Factorization of 24048

Prime factors of 24048 are 2, 3, 167. Prime factorization of 24048 in exponential form is:

24048 = 2⁴ × 3² × 167¹

Step-2: Prime Factorization of 24056

Prime factors of 24056 are 2, 31, 97. Prime factorization of 24056 in exponential form is:

24056 = 2³ × 31¹ × 97¹

Step-3: Factors of 24048

List of positive integer factors of 24048 that divides 24048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 167, 334, 501, 668, 1002, 1336, 1503, 2004, 2672, 3006, 4008, 6012, 8016, 12024

Step-4: Factors of 24056

List of positive integer factors of 24056 that divides 24048 without a remainder.

1, 2, 4, 8, 31, 62, 97, 124, 194, 248, 388, 776, 3007, 6014, 12028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24048 and 24056. The biggest common factor number is the GCF number.
So the greatest common factor 24048 and 24056 is 8.

Also check out the Least Common Multiple of 24048 and 24056