What is the Greatest Common Factor of 32721 and 32734?

Greatest common factor (GCF) of 32721 and 32734 is 13.

GCF(32721,32734) = 13

We will now calculate the prime factors of 32721 and 32734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32721 and 32734.

How to find the GCF of 32721 and 32734?

We will first find the prime factorization of 32721 and 32734. After we will calculate the factors of 32721 and 32734 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32734

Prime factors of 32734 are 2, 13, 1259. Prime factorization of 32734 in exponential form is:

32734 = 2¹ × 13¹ × 1259¹

Step-3: Factors of 32721

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

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

Step-4: Factors of 32734

List of positive integer factors of 32734 that divides 32721 without a remainder.

1, 2, 13, 26, 1259, 2518, 16367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32721 and 32734. The biggest common factor number is the GCF number.
So the greatest common factor 32721 and 32734 is 13.

Also check out the Least Common Multiple of 32721 and 32734