What is the Greatest Common Factor of 17361 and 17376?

Greatest common factor (GCF) of 17361 and 17376 is 3.

GCF(17361,17376) = 3

We will now calculate the prime factors of 17361 and 17376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17361 and 17376.

How to find the GCF of 17361 and 17376?

We will first find the prime factorization of 17361 and 17376. After we will calculate the factors of 17361 and 17376 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 17376

Prime factors of 17376 are 2, 3, 181. Prime factorization of 17376 in exponential form is:

17376 = 2⁵ × 3¹ × 181¹

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 17376

List of positive integer factors of 17376 that divides 17361 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 5792, 8688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17361 and 17376. The biggest common factor number is the GCF number.
So the greatest common factor 17361 and 17376 is 3.

Also check out the Least Common Multiple of 17361 and 17376