What is the Greatest Common Factor of 68799 and 68814?

Greatest common factor (GCF) of 68799 and 68814 is 3.

GCF(68799,68814) = 3

We will now calculate the prime factors of 68799 and 68814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68799 and 68814.

How to find the GCF of 68799 and 68814?

We will first find the prime factorization of 68799 and 68814. After we will calculate the factors of 68799 and 68814 and find the biggest common factor number .

Step-1: Prime Factorization of 68799

Prime factors of 68799 are 3, 17, 19, 71. Prime factorization of 68799 in exponential form is:

68799 = 3¹ × 17¹ × 19¹ × 71¹

Step-2: Prime Factorization of 68814

Prime factors of 68814 are 2, 3, 3823. Prime factorization of 68814 in exponential form is:

68814 = 2¹ × 3² × 3823¹

Step-3: Factors of 68799

List of positive integer factors of 68799 that divides 68799 without a remainder.

1, 3, 17, 19, 51, 57, 71, 213, 323, 969, 1207, 1349, 3621, 4047, 22933

Step-4: Factors of 68814

List of positive integer factors of 68814 that divides 68799 without a remainder.

1, 2, 3, 6, 9, 18, 3823, 7646, 11469, 22938, 34407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68799 and 68814. The biggest common factor number is the GCF number.
So the greatest common factor 68799 and 68814 is 3.

Also check out the Least Common Multiple of 68799 and 68814