What is the Greatest Common Factor of 32704 and 32717?

Greatest common factor (GCF) of 32704 and 32717 is 1.

GCF(32704,32717) = 1

We will now calculate the prime factors of 32704 and 32717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32704 and 32717.

How to find the GCF of 32704 and 32717?

We will first find the prime factorization of 32704 and 32717. After we will calculate the factors of 32704 and 32717 and find the biggest common factor number .

Step-1: Prime Factorization of 32704

Prime factors of 32704 are 2, 7, 73. Prime factorization of 32704 in exponential form is:

32704 = 2⁶ × 7¹ × 73¹

Step-2: Prime Factorization of 32717

Prime factors of 32717 are 32717. Prime factorization of 32717 in exponential form is:

32717 = 32717¹

Step-3: Factors of 32704

List of positive integer factors of 32704 that divides 32704 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 73, 112, 146, 224, 292, 448, 511, 584, 1022, 1168, 2044, 2336, 4088, 4672, 8176, 16352

Step-4: Factors of 32717

List of positive integer factors of 32717 that divides 32704 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32704 and 32717. The biggest common factor number is the GCF number.
So the greatest common factor 32704 and 32717 is 1.

Also check out the Least Common Multiple of 32704 and 32717