What is the Greatest Common Factor of 68799 and 68816?

Greatest common factor (GCF) of 68799 and 68816 is 17.

GCF(68799,68816) = 17

We will now calculate the prime factors of 68799 and 68816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68799 and 68816.

How to find the GCF of 68799 and 68816?

We will first find the prime factorization of 68799 and 68816. After we will calculate the factors of 68799 and 68816 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 68816

Prime factors of 68816 are 2, 11, 17, 23. Prime factorization of 68816 in exponential form is:

68816 = 2⁴ × 11¹ × 17¹ × 23¹

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 68816

List of positive integer factors of 68816 that divides 68799 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 23, 34, 44, 46, 68, 88, 92, 136, 176, 184, 187, 253, 272, 368, 374, 391, 506, 748, 782, 1012, 1496, 1564, 2024, 2992, 3128, 4048, 4301, 6256, 8602, 17204, 34408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68799 and 68816. The biggest common factor number is the GCF number.
So the greatest common factor 68799 and 68816 is 17.

Also check out the Least Common Multiple of 68799 and 68816