What is the Greatest Common Factor of 32674 and 32682?

Greatest common factor (GCF) of 32674 and 32682 is 2.

GCF(32674,32682) = 2

We will now calculate the prime factors of 32674 and 32682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32674 and 32682.

How to find the GCF of 32674 and 32682?

We will first find the prime factorization of 32674 and 32682. After we will calculate the factors of 32674 and 32682 and find the biggest common factor number .

Step-1: Prime Factorization of 32674

Prime factors of 32674 are 2, 17, 31. Prime factorization of 32674 in exponential form is:

32674 = 2¹ × 17¹ × 31²

Step-2: 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-3: Factors of 32674

List of positive integer factors of 32674 that divides 32674 without a remainder.

1, 2, 17, 31, 34, 62, 527, 961, 1054, 1922, 16337

Step-4: Factors of 32682

List of positive integer factors of 32682 that divides 32674 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32674 and 32682. The biggest common factor number is the GCF number.
So the greatest common factor 32674 and 32682 is 2.

Also check out the Least Common Multiple of 32674 and 32682