What is the Greatest Common Factor of 32691 and 32706?

Greatest common factor (GCF) of 32691 and 32706 is 3.

GCF(32691,32706) = 3

We will now calculate the prime factors of 32691 and 32706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32691 and 32706.

How to find the GCF of 32691 and 32706?

We will first find the prime factorization of 32691 and 32706. After we will calculate the factors of 32691 and 32706 and find the biggest common factor number .

Step-1: Prime Factorization of 32691

Prime factors of 32691 are 3, 17, 641. Prime factorization of 32691 in exponential form is:

32691 = 3¹ × 17¹ × 641¹

Step-2: 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-3: Factors of 32691

List of positive integer factors of 32691 that divides 32691 without a remainder.

1, 3, 17, 51, 641, 1923, 10897

Step-4: Factors of 32706

List of positive integer factors of 32706 that divides 32691 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32691 and 32706. The biggest common factor number is the GCF number.
So the greatest common factor 32691 and 32706 is 3.

Also check out the Least Common Multiple of 32691 and 32706