What is the Greatest Common Factor of 23440 and 23457?

Greatest common factor (GCF) of 23440 and 23457 is 1.

GCF(23440,23457) = 1

We will now calculate the prime factors of 23440 and 23457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23440 and 23457.

How to find the GCF of 23440 and 23457?

We will first find the prime factorization of 23440 and 23457. After we will calculate the factors of 23440 and 23457 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 23457

Prime factors of 23457 are 3, 7, 1117. Prime factorization of 23457 in exponential form is:

23457 = 3¹ × 7¹ × 1117¹

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 23457

List of positive integer factors of 23457 that divides 23440 without a remainder.

1, 3, 7, 21, 1117, 3351, 7819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23440 and 23457. The biggest common factor number is the GCF number.
So the greatest common factor 23440 and 23457 is 1.

Also check out the Least Common Multiple of 23440 and 23457