What is the Greatest Common Factor of 23460 and 23472?

Greatest common factor (GCF) of 23460 and 23472 is 12.

GCF(23460,23472) = 12

We will now calculate the prime factors of 23460 and 23472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23460 and 23472.

How to find the GCF of 23460 and 23472?

We will first find the prime factorization of 23460 and 23472. After we will calculate the factors of 23460 and 23472 and find the biggest common factor number .

Step-1: Prime Factorization of 23460

Prime factors of 23460 are 2, 3, 5, 17, 23. Prime factorization of 23460 in exponential form is:

23460 = 2² × 3¹ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 23472

Prime factors of 23472 are 2, 3, 163. Prime factorization of 23472 in exponential form is:

23472 = 2⁴ × 3² × 163¹

Step-3: Factors of 23460

List of positive integer factors of 23460 that divides 23460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 23, 30, 34, 46, 51, 60, 68, 69, 85, 92, 102, 115, 138, 170, 204, 230, 255, 276, 340, 345, 391, 460, 510, 690, 782, 1020, 1173, 1380, 1564, 1955, 2346, 3910, 4692, 5865, 7820, 11730

Step-4: Factors of 23472

List of positive integer factors of 23472 that divides 23460 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5868, 7824, 11736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23460 and 23472. The biggest common factor number is the GCF number.
So the greatest common factor 23460 and 23472 is 12.

Also check out the Least Common Multiple of 23460 and 23472