What is the Greatest Common Factor of 68769 and 68784?

Greatest common factor (GCF) of 68769 and 68784 is 3.

GCF(68769,68784) = 3

We will now calculate the prime factors of 68769 and 68784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68769 and 68784.

How to find the GCF of 68769 and 68784?

We will first find the prime factorization of 68769 and 68784. After we will calculate the factors of 68769 and 68784 and find the biggest common factor number .

Step-1: Prime Factorization of 68769

Prime factors of 68769 are 3, 283. Prime factorization of 68769 in exponential form is:

68769 = 3⁵ × 283¹

Step-2: Prime Factorization of 68784

Prime factors of 68784 are 2, 3, 1433. Prime factorization of 68784 in exponential form is:

68784 = 2⁴ × 3¹ × 1433¹

Step-3: Factors of 68769

List of positive integer factors of 68769 that divides 68769 without a remainder.

1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923

Step-4: Factors of 68784

List of positive integer factors of 68784 that divides 68769 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1433, 2866, 4299, 5732, 8598, 11464, 17196, 22928, 34392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68769 and 68784. The biggest common factor number is the GCF number.
So the greatest common factor 68769 and 68784 is 3.

Also check out the Least Common Multiple of 68769 and 68784