What is the Greatest Common Factor of 17361 and 17370?

Greatest common factor (GCF) of 17361 and 17370 is 9.

GCF(17361,17370) = 9

We will now calculate the prime factors of 17361 and 17370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17361 and 17370.

How to find the GCF of 17361 and 17370?

We will first find the prime factorization of 17361 and 17370. After we will calculate the factors of 17361 and 17370 and find the biggest common factor number .

Step-1: Prime Factorization of 17361

Prime factors of 17361 are 3, 643. Prime factorization of 17361 in exponential form is:

17361 = 3³ × 643¹

Step-2: Prime Factorization of 17370

Prime factors of 17370 are 2, 3, 5, 193. Prime factorization of 17370 in exponential form is:

17370 = 2¹ × 3² × 5¹ × 193¹

Step-3: Factors of 17361

List of positive integer factors of 17361 that divides 17361 without a remainder.

1, 3, 9, 27, 643, 1929, 5787

Step-4: Factors of 17370

List of positive integer factors of 17370 that divides 17361 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 193, 386, 579, 965, 1158, 1737, 1930, 2895, 3474, 5790, 8685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17361 and 17370. The biggest common factor number is the GCF number.
So the greatest common factor 17361 and 17370 is 9.

Also check out the Least Common Multiple of 17361 and 17370