What is the Greatest Common Factor of 32766 and 32778?

Greatest common factor (GCF) of 32766 and 32778 is 6.

GCF(32766,32778) = 6

We will now calculate the prime factors of 32766 and 32778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32766 and 32778.

How to find the GCF of 32766 and 32778?

We will first find the prime factorization of 32766 and 32778. After we will calculate the factors of 32766 and 32778 and find the biggest common factor number .

Step-1: Prime Factorization of 32766

Prime factors of 32766 are 2, 3, 43, 127. Prime factorization of 32766 in exponential form is:

32766 = 2¹ × 3¹ × 43¹ × 127¹

Step-2: Prime Factorization of 32778

Prime factors of 32778 are 2, 3, 607. Prime factorization of 32778 in exponential form is:

32778 = 2¹ × 3³ × 607¹

Step-3: Factors of 32766

List of positive integer factors of 32766 that divides 32766 without a remainder.

1, 2, 3, 6, 43, 86, 127, 129, 254, 258, 381, 762, 5461, 10922, 16383

Step-4: Factors of 32778

List of positive integer factors of 32778 that divides 32766 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 607, 1214, 1821, 3642, 5463, 10926, 16389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32766 and 32778. The biggest common factor number is the GCF number.
So the greatest common factor 32766 and 32778 is 6.

Also check out the Least Common Multiple of 32766 and 32778