What is the Greatest Common Factor of 10395 and 10403?

Greatest common factor (GCF) of 10395 and 10403 is 1.

GCF(10395,10403) = 1

We will now calculate the prime factors of 10395 and 10403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10395 and 10403.

How to find the GCF of 10395 and 10403?

We will first find the prime factorization of 10395 and 10403. After we will calculate the factors of 10395 and 10403 and find the biggest common factor number .

Step-1: Prime Factorization of 10395

Prime factors of 10395 are 3, 5, 7, 11. Prime factorization of 10395 in exponential form is:

10395 = 3³ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 10403

Prime factors of 10403 are 101, 103. Prime factorization of 10403 in exponential form is:

10403 = 101¹ × 103¹

Step-3: Factors of 10395

List of positive integer factors of 10395 that divides 10395 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 27, 33, 35, 45, 55, 63, 77, 99, 105, 135, 165, 189, 231, 297, 315, 385, 495, 693, 945, 1155, 1485, 2079, 3465

Step-4: Factors of 10403

List of positive integer factors of 10403 that divides 10395 without a remainder.

1, 101, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10395 and 10403. The biggest common factor number is the GCF number.
So the greatest common factor 10395 and 10403 is 1.

Also check out the Least Common Multiple of 10395 and 10403