What is the Greatest Common Factor of 32784 and 32793?

Greatest common factor (GCF) of 32784 and 32793 is 3.

GCF(32784,32793) = 3

We will now calculate the prime factors of 32784 and 32793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32784 and 32793.

How to find the GCF of 32784 and 32793?

We will first find the prime factorization of 32784 and 32793. After we will calculate the factors of 32784 and 32793 and find the biggest common factor number .

Step-1: Prime Factorization of 32784

Prime factors of 32784 are 2, 3, 683. Prime factorization of 32784 in exponential form is:

32784 = 2⁴ × 3¹ × 683¹

Step-2: Prime Factorization of 32793

Prime factors of 32793 are 3, 17, 643. Prime factorization of 32793 in exponential form is:

32793 = 3¹ × 17¹ × 643¹

Step-3: Factors of 32784

List of positive integer factors of 32784 that divides 32784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 683, 1366, 2049, 2732, 4098, 5464, 8196, 10928, 16392

Step-4: Factors of 32793

List of positive integer factors of 32793 that divides 32784 without a remainder.

1, 3, 17, 51, 643, 1929, 10931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32784 and 32793. The biggest common factor number is the GCF number.
So the greatest common factor 32784 and 32793 is 3.

Also check out the Least Common Multiple of 32784 and 32793