What is the Greatest Common Factor of 17313 and 17325?

Greatest common factor (GCF) of 17313 and 17325 is 3.

GCF(17313,17325) = 3

We will now calculate the prime factors of 17313 and 17325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17313 and 17325.

How to find the GCF of 17313 and 17325?

We will first find the prime factorization of 17313 and 17325. After we will calculate the factors of 17313 and 17325 and find the biggest common factor number .

Step-1: Prime Factorization of 17313

Prime factors of 17313 are 3, 29, 199. Prime factorization of 17313 in exponential form is:

17313 = 3¹ × 29¹ × 199¹

Step-2: Prime Factorization of 17325

Prime factors of 17325 are 3, 5, 7, 11. Prime factorization of 17325 in exponential form is:

17325 = 3² × 5² × 7¹ × 11¹

Step-3: Factors of 17313

List of positive integer factors of 17313 that divides 17313 without a remainder.

1, 3, 29, 87, 199, 597, 5771

Step-4: Factors of 17325

List of positive integer factors of 17325 that divides 17313 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 25, 33, 35, 45, 55, 63, 75, 77, 99, 105, 165, 175, 225, 231, 275, 315, 385, 495, 525, 693, 825, 1155, 1575, 1925, 2475, 3465, 5775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17313 and 17325. The biggest common factor number is the GCF number.
So the greatest common factor 17313 and 17325 is 3.

Also check out the Least Common Multiple of 17313 and 17325