What is the Greatest Common Factor of 23445 and 23460?

Greatest common factor (GCF) of 23445 and 23460 is 15.

GCF(23445,23460) = 15

We will now calculate the prime factors of 23445 and 23460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23445 and 23460.

How to find the GCF of 23445 and 23460?

We will first find the prime factorization of 23445 and 23460. After we will calculate the factors of 23445 and 23460 and find the biggest common factor number .

Step-1: Prime Factorization of 23445

Prime factors of 23445 are 3, 5, 521. Prime factorization of 23445 in exponential form is:

23445 = 3² × 5¹ × 521¹

Step-2: 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-3: Factors of 23445

List of positive integer factors of 23445 that divides 23445 without a remainder.

1, 3, 5, 9, 15, 45, 521, 1563, 2605, 4689, 7815

Step-4: Factors of 23460

List of positive integer factors of 23460 that divides 23445 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23445 and 23460. The biggest common factor number is the GCF number.
So the greatest common factor 23445 and 23460 is 15.

Also check out the Least Common Multiple of 23445 and 23460