What is the Greatest Common Factor of 10704 and 10717?

Greatest common factor (GCF) of 10704 and 10717 is 1.

GCF(10704,10717) = 1

We will now calculate the prime factors of 10704 and 10717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10704 and 10717.

How to find the GCF of 10704 and 10717?

We will first find the prime factorization of 10704 and 10717. After we will calculate the factors of 10704 and 10717 and find the biggest common factor number .

Step-1: Prime Factorization of 10704

Prime factors of 10704 are 2, 3, 223. Prime factorization of 10704 in exponential form is:

10704 = 2⁴ × 3¹ × 223¹

Step-2: Prime Factorization of 10717

Prime factors of 10717 are 7, 1531. Prime factorization of 10717 in exponential form is:

10717 = 7¹ × 1531¹

Step-3: Factors of 10704

List of positive integer factors of 10704 that divides 10704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 223, 446, 669, 892, 1338, 1784, 2676, 3568, 5352

Step-4: Factors of 10717

List of positive integer factors of 10717 that divides 10704 without a remainder.

1, 7, 1531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10704 and 10717. The biggest common factor number is the GCF number.
So the greatest common factor 10704 and 10717 is 1.

Also check out the Least Common Multiple of 10704 and 10717