What is the Greatest Common Factor of 24056 and 24064?

Greatest common factor (GCF) of 24056 and 24064 is 8.

GCF(24056,24064) = 8

We will now calculate the prime factors of 24056 and 24064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24056 and 24064.

How to find the GCF of 24056 and 24064?

We will first find the prime factorization of 24056 and 24064. After we will calculate the factors of 24056 and 24064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24064

Prime factors of 24064 are 2, 47. Prime factorization of 24064 in exponential form is:

24064 = 2⁹ × 47¹

Step-3: Factors of 24056

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

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

Step-4: Factors of 24064

List of positive integer factors of 24064 that divides 24056 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1504, 3008, 6016, 12032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24056 and 24064. The biggest common factor number is the GCF number.
So the greatest common factor 24056 and 24064 is 8.

Also check out the Least Common Multiple of 24056 and 24064