What is the Greatest Common Factor of 23040 and 23058?

Greatest common factor (GCF) of 23040 and 23058 is 18.

GCF(23040,23058) = 18

We will now calculate the prime factors of 23040 and 23058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23040 and 23058.

How to find the GCF of 23040 and 23058?

We will first find the prime factorization of 23040 and 23058. After we will calculate the factors of 23040 and 23058 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 23058

Prime factors of 23058 are 2, 3, 7, 61. Prime factorization of 23058 in exponential form is:

23058 = 2¹ × 3³ × 7¹ × 61¹

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 23058

List of positive integer factors of 23058 that divides 23040 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 61, 63, 122, 126, 183, 189, 366, 378, 427, 549, 854, 1098, 1281, 1647, 2562, 3294, 3843, 7686, 11529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23040 and 23058. The biggest common factor number is the GCF number.
So the greatest common factor 23040 and 23058 is 18.

Also check out the Least Common Multiple of 23040 and 23058