What is the Greatest Common Factor of 23440 and 23445?

Greatest common factor (GCF) of 23440 and 23445 is 5.

GCF(23440,23445) = 5

We will now calculate the prime factors of 23440 and 23445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23440 and 23445.

How to find the GCF of 23440 and 23445?

We will first find the prime factorization of 23440 and 23445. After we will calculate the factors of 23440 and 23445 and find the biggest common factor number .

Step-1: Prime Factorization of 23440

Prime factors of 23440 are 2, 5, 293. Prime factorization of 23440 in exponential form is:

23440 = 2⁴ × 5¹ × 293¹

Step-2: 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-3: Factors of 23440

List of positive integer factors of 23440 that divides 23440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 11720

Step-4: Factors of 23445

List of positive integer factors of 23445 that divides 23440 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23440 and 23445. The biggest common factor number is the GCF number.
So the greatest common factor 23440 and 23445 is 5.

Also check out the Least Common Multiple of 23440 and 23445