What is the Greatest Common Factor of 32706 and 32721?

Greatest common factor (GCF) of 32706 and 32721 is 3.

GCF(32706,32721) = 3

We will now calculate the prime factors of 32706 and 32721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32706 and 32721.

How to find the GCF of 32706 and 32721?

We will first find the prime factorization of 32706 and 32721. After we will calculate the factors of 32706 and 32721 and find the biggest common factor number .

Step-1: Prime Factorization of 32706

Prime factors of 32706 are 2, 3, 23, 79. Prime factorization of 32706 in exponential form is:

32706 = 2¹ × 3² × 23¹ × 79¹

Step-2: Prime Factorization of 32721

Prime factors of 32721 are 3, 13, 839. Prime factorization of 32721 in exponential form is:

32721 = 3¹ × 13¹ × 839¹

Step-3: Factors of 32706

List of positive integer factors of 32706 that divides 32706 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 79, 138, 158, 207, 237, 414, 474, 711, 1422, 1817, 3634, 5451, 10902, 16353

Step-4: Factors of 32721

List of positive integer factors of 32721 that divides 32706 without a remainder.

1, 3, 13, 39, 839, 2517, 10907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32706 and 32721. The biggest common factor number is the GCF number.
So the greatest common factor 32706 and 32721 is 3.

Also check out the Least Common Multiple of 32706 and 32721