What is the Greatest Common Factor of 17706 and 17723?

Greatest common factor (GCF) of 17706 and 17723 is 1.

GCF(17706,17723) = 1

We will now calculate the prime factors of 17706 and 17723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17706 and 17723.

How to find the GCF of 17706 and 17723?

We will first find the prime factorization of 17706 and 17723. After we will calculate the factors of 17706 and 17723 and find the biggest common factor number .

Step-1: Prime Factorization of 17706

Prime factors of 17706 are 2, 3, 13, 227. Prime factorization of 17706 in exponential form is:

17706 = 2¹ × 3¹ × 13¹ × 227¹

Step-2: Prime Factorization of 17723

Prime factors of 17723 are 37, 479. Prime factorization of 17723 in exponential form is:

17723 = 37¹ × 479¹

Step-3: Factors of 17706

List of positive integer factors of 17706 that divides 17706 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 227, 454, 681, 1362, 2951, 5902, 8853

Step-4: Factors of 17723

List of positive integer factors of 17723 that divides 17706 without a remainder.

1, 37, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17706 and 17723. The biggest common factor number is the GCF number.
So the greatest common factor 17706 and 17723 is 1.

Also check out the Least Common Multiple of 17706 and 17723