What is the Greatest Common Factor of 17391 and 17403?

Greatest common factor (GCF) of 17391 and 17403 is 3.

GCF(17391,17403) = 3

We will now calculate the prime factors of 17391 and 17403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17391 and 17403.

How to find the GCF of 17391 and 17403?

We will first find the prime factorization of 17391 and 17403. After we will calculate the factors of 17391 and 17403 and find the biggest common factor number .

Step-1: Prime Factorization of 17391

Prime factors of 17391 are 3, 11, 17, 31. Prime factorization of 17391 in exponential form is:

17391 = 3¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 17403

Prime factors of 17403 are 3, 5801. Prime factorization of 17403 in exponential form is:

17403 = 3¹ × 5801¹

Step-3: Factors of 17391

List of positive integer factors of 17391 that divides 17391 without a remainder.

1, 3, 11, 17, 31, 33, 51, 93, 187, 341, 527, 561, 1023, 1581, 5797

Step-4: Factors of 17403

List of positive integer factors of 17403 that divides 17391 without a remainder.

1, 3, 5801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17391 and 17403. The biggest common factor number is the GCF number.
So the greatest common factor 17391 and 17403 is 3.

Also check out the Least Common Multiple of 17391 and 17403