What is the Greatest Common Factor of 23460 and 23466?

Greatest common factor (GCF) of 23460 and 23466 is 6.

GCF(23460,23466) = 6

We will now calculate the prime factors of 23460 and 23466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23460 and 23466.

How to find the GCF of 23460 and 23466?

We will first find the prime factorization of 23460 and 23466. After we will calculate the factors of 23460 and 23466 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 23466

Prime factors of 23466 are 2, 3, 3911. Prime factorization of 23466 in exponential form is:

23466 = 2¹ × 3¹ × 3911¹

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 23466

List of positive integer factors of 23466 that divides 23460 without a remainder.

1, 2, 3, 6, 3911, 7822, 11733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23460 and 23466. The biggest common factor number is the GCF number.
So the greatest common factor 23460 and 23466 is 6.

Also check out the Least Common Multiple of 23460 and 23466