What is the Greatest Common Factor of 23040 and 23051?

Greatest common factor (GCF) of 23040 and 23051 is 1.

GCF(23040,23051) = 1

We will now calculate the prime factors of 23040 and 23051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23040 and 23051.

How to find the GCF of 23040 and 23051?

We will first find the prime factorization of 23040 and 23051. After we will calculate the factors of 23040 and 23051 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 23051

Prime factors of 23051 are 7, 37, 89. Prime factorization of 23051 in exponential form is:

23051 = 7¹ × 37¹ × 89¹

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 23051

List of positive integer factors of 23051 that divides 23040 without a remainder.

1, 7, 37, 89, 259, 623, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23040 and 23051. The biggest common factor number is the GCF number.
So the greatest common factor 23040 and 23051 is 1.

Also check out the Least Common Multiple of 23040 and 23051