What is the Greatest Common Factor of 32769 and 32784?

Greatest common factor (GCF) of 32769 and 32784 is 3.

GCF(32769,32784) = 3

We will now calculate the prime factors of 32769 and 32784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32769 and 32784.

How to find the GCF of 32769 and 32784?

We will first find the prime factorization of 32769 and 32784. After we will calculate the factors of 32769 and 32784 and find the biggest common factor number .

Step-1: Prime Factorization of 32769

Prime factors of 32769 are 3, 11, 331. Prime factorization of 32769 in exponential form is:

32769 = 3² × 11¹ × 331¹

Step-2: 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-3: Factors of 32769

List of positive integer factors of 32769 that divides 32769 without a remainder.

1, 3, 9, 11, 33, 99, 331, 993, 2979, 3641, 10923

Step-4: Factors of 32784

List of positive integer factors of 32784 that divides 32769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32769 and 32784. The biggest common factor number is the GCF number.
So the greatest common factor 32769 and 32784 is 3.

Also check out the Least Common Multiple of 32769 and 32784