What is the Greatest Common Factor of 68782 and 68799?

Greatest common factor (GCF) of 68782 and 68799 is 17.

GCF(68782,68799) = 17

We will now calculate the prime factors of 68782 and 68799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68782 and 68799.

How to find the GCF of 68782 and 68799?

We will first find the prime factorization of 68782 and 68799. After we will calculate the factors of 68782 and 68799 and find the biggest common factor number .

Step-1: Prime Factorization of 68782

Prime factors of 68782 are 2, 7, 17. Prime factorization of 68782 in exponential form is:

68782 = 2¹ × 7¹ × 17³

Step-2: 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-3: Factors of 68782

List of positive integer factors of 68782 that divides 68782 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391

Step-4: Factors of 68799

List of positive integer factors of 68799 that divides 68782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68782 and 68799. The biggest common factor number is the GCF number.
So the greatest common factor 68782 and 68799 is 17.

Also check out the Least Common Multiple of 68782 and 68799