What is the Greatest Common Factor of 23023 and 23040?

Greatest common factor (GCF) of 23023 and 23040 is 1.

GCF(23023,23040) = 1

We will now calculate the prime factors of 23023 and 23040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23023 and 23040.

How to find the GCF of 23023 and 23040?

We will first find the prime factorization of 23023 and 23040. After we will calculate the factors of 23023 and 23040 and find the biggest common factor number .

Step-1: Prime Factorization of 23023

Prime factors of 23023 are 7, 11, 13, 23. Prime factorization of 23023 in exponential form is:

23023 = 7¹ × 11¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 23023

List of positive integer factors of 23023 that divides 23023 without a remainder.

1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289

Step-4: Factors of 23040

List of positive integer factors of 23040 that divides 23023 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23023 and 23040. The biggest common factor number is the GCF number.
So the greatest common factor 23023 and 23040 is 1.

Also check out the Least Common Multiple of 23023 and 23040