What is the Greatest Common Factor of 32682 and 32694?

Greatest common factor (GCF) of 32682 and 32694 is 6.

GCF(32682,32694) = 6

We will now calculate the prime factors of 32682 and 32694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32682 and 32694.

How to find the GCF of 32682 and 32694?

We will first find the prime factorization of 32682 and 32694. After we will calculate the factors of 32682 and 32694 and find the biggest common factor number .

Step-1: Prime Factorization of 32682

Prime factors of 32682 are 2, 3, 13, 419. Prime factorization of 32682 in exponential form is:

32682 = 2¹ × 3¹ × 13¹ × 419¹

Step-2: Prime Factorization of 32694

Prime factors of 32694 are 2, 3, 5449. Prime factorization of 32694 in exponential form is:

32694 = 2¹ × 3¹ × 5449¹

Step-3: Factors of 32682

List of positive integer factors of 32682 that divides 32682 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 419, 838, 1257, 2514, 5447, 10894, 16341

Step-4: Factors of 32694

List of positive integer factors of 32694 that divides 32682 without a remainder.

1, 2, 3, 6, 5449, 10898, 16347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32682 and 32694. The biggest common factor number is the GCF number.
So the greatest common factor 32682 and 32694 is 6.

Also check out the Least Common Multiple of 32682 and 32694