What is the Greatest Common Factor of 17701 and 17712?

Greatest common factor (GCF) of 17701 and 17712 is 1.

GCF(17701,17712) = 1

We will now calculate the prime factors of 17701 and 17712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17701 and 17712.

How to find the GCF of 17701 and 17712?

We will first find the prime factorization of 17701 and 17712. After we will calculate the factors of 17701 and 17712 and find the biggest common factor number .

Step-1: Prime Factorization of 17701

Prime factors of 17701 are 31, 571. Prime factorization of 17701 in exponential form is:

17701 = 31¹ × 571¹

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 17701

List of positive integer factors of 17701 that divides 17701 without a remainder.

1, 31, 571

Step-4: Factors of 17712

List of positive integer factors of 17712 that divides 17701 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 17701 and 17712. The biggest common factor number is the GCF number.
So the greatest common factor 17701 and 17712 is 1.

Also check out the Least Common Multiple of 17701 and 17712