What is the Greatest Common Factor of 32799 and 32811?

Greatest common factor (GCF) of 32799 and 32811 is 3.

GCF(32799,32811) = 3

We will now calculate the prime factors of 32799 and 32811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32799 and 32811.

How to find the GCF of 32799 and 32811?

We will first find the prime factorization of 32799 and 32811. After we will calculate the factors of 32799 and 32811 and find the biggest common factor number .

Step-1: Prime Factorization of 32799

Prime factors of 32799 are 3, 13, 29. Prime factorization of 32799 in exponential form is:

32799 = 3¹ × 13¹ × 29²

Step-2: Prime Factorization of 32811

Prime factors of 32811 are 3, 10937. Prime factorization of 32811 in exponential form is:

32811 = 3¹ × 10937¹

Step-3: Factors of 32799

List of positive integer factors of 32799 that divides 32799 without a remainder.

1, 3, 13, 29, 39, 87, 377, 841, 1131, 2523, 10933

Step-4: Factors of 32811

List of positive integer factors of 32811 that divides 32799 without a remainder.

1, 3, 10937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32799 and 32811. The biggest common factor number is the GCF number.
So the greatest common factor 32799 and 32811 is 3.

Also check out the Least Common Multiple of 32799 and 32811