What is the Greatest Common Factor of 32704 and 32720?

Greatest common factor (GCF) of 32704 and 32720 is 16.

GCF(32704,32720) = 16

We will now calculate the prime factors of 32704 and 32720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32704 and 32720.

How to find the GCF of 32704 and 32720?

We will first find the prime factorization of 32704 and 32720. After we will calculate the factors of 32704 and 32720 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 32720

Prime factors of 32720 are 2, 5, 409. Prime factorization of 32720 in exponential form is:

32720 = 2⁴ × 5¹ × 409¹

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 32720

List of positive integer factors of 32720 that divides 32704 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 409, 818, 1636, 2045, 3272, 4090, 6544, 8180, 16360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32704 and 32720. The biggest common factor number is the GCF number.
So the greatest common factor 32704 and 32720 is 16.

Also check out the Least Common Multiple of 32704 and 32720