What is the Greatest Common Factor of 23030 and 23040?

Greatest common factor (GCF) of 23030 and 23040 is 10.

GCF(23030,23040) = 10

We will now calculate the prime factors of 23030 and 23040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23030 and 23040.

How to find the GCF of 23030 and 23040?

We will first find the prime factorization of 23030 and 23040. After we will calculate the factors of 23030 and 23040 and find the biggest common factor number .

Step-1: Prime Factorization of 23030

Prime factors of 23030 are 2, 5, 7, 47. Prime factorization of 23030 in exponential form is:

23030 = 2¹ × 5¹ × 7² × 47¹

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 23030

List of positive integer factors of 23030 that divides 23030 without a remainder.

1, 2, 5, 7, 10, 14, 35, 47, 49, 70, 94, 98, 235, 245, 329, 470, 490, 658, 1645, 2303, 3290, 4606, 11515

Step-4: Factors of 23040

List of positive integer factors of 23040 that divides 23030 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 23030 and 23040. The biggest common factor number is the GCF number.
So the greatest common factor 23030 and 23040 is 10.

Also check out the Least Common Multiple of 23030 and 23040