What is the Greatest Common Factor of 32716 and 32734?

Greatest common factor (GCF) of 32716 and 32734 is 2.

GCF(32716,32734) = 2

We will now calculate the prime factors of 32716 and 32734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32716 and 32734.

How to find the GCF of 32716 and 32734?

We will first find the prime factorization of 32716 and 32734. After we will calculate the factors of 32716 and 32734 and find the biggest common factor number .

Step-1: Prime Factorization of 32716

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

32716 = 2² × 8179¹

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 32716

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

1, 2, 4, 8179, 16358

Step-4: Factors of 32734

List of positive integer factors of 32734 that divides 32716 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32716 and 32734. The biggest common factor number is the GCF number.
So the greatest common factor 32716 and 32734 is 2.

Also check out the Least Common Multiple of 32716 and 32734