What is the Greatest Common Factor of 17694 and 17712?

Greatest common factor (GCF) of 17694 and 17712 is 18.

GCF(17694,17712) = 18

We will now calculate the prime factors of 17694 and 17712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17694 and 17712.

How to find the GCF of 17694 and 17712?

We will first find the prime factorization of 17694 and 17712. After we will calculate the factors of 17694 and 17712 and find the biggest common factor number .

Step-1: Prime Factorization of 17694

Prime factors of 17694 are 2, 3, 983. Prime factorization of 17694 in exponential form is:

17694 = 2¹ × 3² × 983¹

Step-2: Prime Factorization of 17712

Prime factors of 17712 are 2, 3, 41. Prime factorization of 17712 in exponential form is:

17712 = 2⁴ × 3³ × 41¹

Step-3: Factors of 17694

List of positive integer factors of 17694 that divides 17694 without a remainder.

1, 2, 3, 6, 9, 18, 983, 1966, 2949, 5898, 8847

Step-4: Factors of 17712

List of positive integer factors of 17712 that divides 17694 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 41, 48, 54, 72, 82, 108, 123, 144, 164, 216, 246, 328, 369, 432, 492, 656, 738, 984, 1107, 1476, 1968, 2214, 2952, 4428, 5904, 8856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17694 and 17712. The biggest common factor number is the GCF number.
So the greatest common factor 17694 and 17712 is 18.

Also check out the Least Common Multiple of 17694 and 17712