What is the Greatest Common Factor of 23389 and 23408?

Greatest common factor (GCF) of 23389 and 23408 is 19.

GCF(23389,23408) = 19

We will now calculate the prime factors of 23389 and 23408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23389 and 23408.

How to find the GCF of 23389 and 23408?

We will first find the prime factorization of 23389 and 23408. After we will calculate the factors of 23389 and 23408 and find the biggest common factor number .

Step-1: Prime Factorization of 23389

Prime factors of 23389 are 19, 1231. Prime factorization of 23389 in exponential form is:

23389 = 19¹ × 1231¹

Step-2: Prime Factorization of 23408

Prime factors of 23408 are 2, 7, 11, 19. Prime factorization of 23408 in exponential form is:

23408 = 2⁴ × 7¹ × 11¹ × 19¹

Step-3: Factors of 23389

List of positive integer factors of 23389 that divides 23389 without a remainder.

1, 19, 1231

Step-4: Factors of 23408

List of positive integer factors of 23408 that divides 23389 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 266, 304, 308, 418, 532, 616, 836, 1064, 1232, 1463, 1672, 2128, 2926, 3344, 5852, 11704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23389 and 23408. The biggest common factor number is the GCF number.
So the greatest common factor 23389 and 23408 is 19.

Also check out the Least Common Multiple of 23389 and 23408