What is the Greatest Common Factor of 26397 and 26403?

Greatest common factor (GCF) of 26397 and 26403 is 3.

GCF(26397,26403) = 3

We will now calculate the prime factors of 26397 and 26403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26397 and 26403.

How to find the GCF of 26397 and 26403?

We will first find the prime factorization of 26397 and 26403. After we will calculate the factors of 26397 and 26403 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26403

Prime factors of 26403 are 3, 13, 677. Prime factorization of 26403 in exponential form is:

26403 = 3¹ × 13¹ × 677¹

Step-3: Factors of 26397

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

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

Step-4: Factors of 26403

List of positive integer factors of 26403 that divides 26397 without a remainder.

1, 3, 13, 39, 677, 2031, 8801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26397 and 26403. The biggest common factor number is the GCF number.
So the greatest common factor 26397 and 26403 is 3.

Also check out the Least Common Multiple of 26397 and 26403