What is the Greatest Common Factor of 23397 and 23408?

Greatest common factor (GCF) of 23397 and 23408 is 11.

GCF(23397,23408) = 11

We will now calculate the prime factors of 23397 and 23408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23397 and 23408.

How to find the GCF of 23397 and 23408?

We will first find the prime factorization of 23397 and 23408. After we will calculate the factors of 23397 and 23408 and find the biggest common factor number .

Step-1: Prime Factorization of 23397

Prime factors of 23397 are 3, 11, 709. Prime factorization of 23397 in exponential form is:

23397 = 3¹ × 11¹ × 709¹

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 23397

List of positive integer factors of 23397 that divides 23397 without a remainder.

1, 3, 11, 33, 709, 2127, 7799

Step-4: Factors of 23408

List of positive integer factors of 23408 that divides 23397 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 23397 and 23408. The biggest common factor number is the GCF number.
So the greatest common factor 23397 and 23408 is 11.

Also check out the Least Common Multiple of 23397 and 23408