What is the Greatest Common Factor of 68823 and 68829?

Greatest common factor (GCF) of 68823 and 68829 is 3.

GCF(68823,68829) = 3

We will now calculate the prime factors of 68823 and 68829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68823 and 68829.

How to find the GCF of 68823 and 68829?

We will first find the prime factorization of 68823 and 68829. After we will calculate the factors of 68823 and 68829 and find the biggest common factor number .

Step-1: Prime Factorization of 68823

Prime factors of 68823 are 3, 2549. Prime factorization of 68823 in exponential form is:

68823 = 3³ × 2549¹

Step-2: Prime Factorization of 68829

Prime factors of 68829 are 3, 22943. Prime factorization of 68829 in exponential form is:

68829 = 3¹ × 22943¹

Step-3: Factors of 68823

List of positive integer factors of 68823 that divides 68823 without a remainder.

1, 3, 9, 27, 2549, 7647, 22941

Step-4: Factors of 68829

List of positive integer factors of 68829 that divides 68823 without a remainder.

1, 3, 22943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68823 and 68829. The biggest common factor number is the GCF number.
So the greatest common factor 68823 and 68829 is 3.

Also check out the Least Common Multiple of 68823 and 68829