What is the Greatest Common Factor of 32778 and 32791?

Greatest common factor (GCF) of 32778 and 32791 is 1.

GCF(32778,32791) = 1

We will now calculate the prime factors of 32778 and 32791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32778 and 32791.

How to find the GCF of 32778 and 32791?

We will first find the prime factorization of 32778 and 32791. After we will calculate the factors of 32778 and 32791 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32791

Prime factors of 32791 are 11, 271. Prime factorization of 32791 in exponential form is:

32791 = 11² × 271¹

Step-3: Factors of 32778

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

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

Step-4: Factors of 32791

List of positive integer factors of 32791 that divides 32778 without a remainder.

1, 11, 121, 271, 2981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32778 and 32791. The biggest common factor number is the GCF number.
So the greatest common factor 32778 and 32791 is 1.

Also check out the Least Common Multiple of 32778 and 32791