What is the Greatest Common Factor of 23040 and 23054?

Greatest common factor (GCF) of 23040 and 23054 is 2.

GCF(23040,23054) = 2

We will now calculate the prime factors of 23040 and 23054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23040 and 23054.

How to find the GCF of 23040 and 23054?

We will first find the prime factorization of 23040 and 23054. After we will calculate the factors of 23040 and 23054 and find the biggest common factor number .

Step-1: Prime Factorization of 23040

Prime factors of 23040 are 2, 3, 5. Prime factorization of 23040 in exponential form is:

23040 = 2⁹ × 3² × 5¹

Step-2: Prime Factorization of 23054

Prime factors of 23054 are 2, 11527. Prime factorization of 23054 in exponential form is:

23054 = 2¹ × 11527¹

Step-3: Factors of 23040

List of positive integer factors of 23040 that divides 23040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 512, 576, 640, 720, 768, 960, 1152, 1280, 1440, 1536, 1920, 2304, 2560, 2880, 3840, 4608, 5760, 7680, 11520

Step-4: Factors of 23054

List of positive integer factors of 23054 that divides 23040 without a remainder.

1, 2, 11527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23040 and 23054. The biggest common factor number is the GCF number.
So the greatest common factor 23040 and 23054 is 2.

Also check out the Least Common Multiple of 23040 and 23054