What is the Greatest Common Factor of 17710 and 17729?

Greatest common factor (GCF) of 17710 and 17729 is 1.

GCF(17710,17729) = 1

We will now calculate the prime factors of 17710 and 17729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17710 and 17729.

How to find the GCF of 17710 and 17729?

We will first find the prime factorization of 17710 and 17729. After we will calculate the factors of 17710 and 17729 and find the biggest common factor number .

Step-1: Prime Factorization of 17710

Prime factors of 17710 are 2, 5, 7, 11, 23. Prime factorization of 17710 in exponential form is:

17710 = 2¹ × 5¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 17729

Prime factors of 17729 are 17729. Prime factorization of 17729 in exponential form is:

17729 = 17729¹

Step-3: Factors of 17710

List of positive integer factors of 17710 that divides 17710 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 23, 35, 46, 55, 70, 77, 110, 115, 154, 161, 230, 253, 322, 385, 506, 770, 805, 1265, 1610, 1771, 2530, 3542, 8855

Step-4: Factors of 17729

List of positive integer factors of 17729 that divides 17710 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17710 and 17729. The biggest common factor number is the GCF number.
So the greatest common factor 17710 and 17729 is 1.

Also check out the Least Common Multiple of 17710 and 17729