What is the Greatest Common Factor of 32704 and 32716?

Greatest common factor (GCF) of 32704 and 32716 is 4.

GCF(32704,32716) = 4

We will now calculate the prime factors of 32704 and 32716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32704 and 32716.

How to find the GCF of 32704 and 32716?

We will first find the prime factorization of 32704 and 32716. After we will calculate the factors of 32704 and 32716 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 32716

Prime factors of 32716 are 2, 8179. Prime factorization of 32716 in exponential form is:

32716 = 2² × 8179¹

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 32716

List of positive integer factors of 32716 that divides 32704 without a remainder.

1, 2, 4, 8179, 16358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32704 and 32716. The biggest common factor number is the GCF number.
So the greatest common factor 32704 and 32716 is 4.

Also check out the Least Common Multiple of 32704 and 32716