What is the Greatest Common Factor of 26383 and 26397?

Greatest common factor (GCF) of 26383 and 26397 is 7.

GCF(26383,26397) = 7

We will now calculate the prime factors of 26383 and 26397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26383 and 26397.

How to find the GCF of 26383 and 26397?

We will first find the prime factorization of 26383 and 26397. After we will calculate the factors of 26383 and 26397 and find the biggest common factor number .

Step-1: Prime Factorization of 26383

Prime factors of 26383 are 7, 3769. Prime factorization of 26383 in exponential form is:

26383 = 7¹ × 3769¹

Step-2: Prime Factorization of 26397

Prime factors of 26397 are 3, 7, 419. Prime factorization of 26397 in exponential form is:

26397 = 3² × 7¹ × 419¹

Step-3: Factors of 26383

List of positive integer factors of 26383 that divides 26383 without a remainder.

1, 7, 3769

Step-4: Factors of 26397

List of positive integer factors of 26397 that divides 26383 without a remainder.

1, 3, 7, 9, 21, 63, 419, 1257, 2933, 3771, 8799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26383 and 26397. The biggest common factor number is the GCF number.
So the greatest common factor 26383 and 26397 is 7.

Also check out the Least Common Multiple of 26383 and 26397