What is the Greatest Common Factor of 12688 and 12705?

Greatest common factor (GCF) of 12688 and 12705 is 1.

GCF(12688,12705) = 1

We will now calculate the prime factors of 12688 and 12705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12688 and 12705.

How to find the GCF of 12688 and 12705?

We will first find the prime factorization of 12688 and 12705. After we will calculate the factors of 12688 and 12705 and find the biggest common factor number .

Step-1: Prime Factorization of 12688

Prime factors of 12688 are 2, 13, 61. Prime factorization of 12688 in exponential form is:

12688 = 2⁴ × 13¹ × 61¹

Step-2: Prime Factorization of 12705

Prime factors of 12705 are 3, 5, 7, 11. Prime factorization of 12705 in exponential form is:

12705 = 3¹ × 5¹ × 7¹ × 11²

Step-3: Factors of 12688

List of positive integer factors of 12688 that divides 12688 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 61, 104, 122, 208, 244, 488, 793, 976, 1586, 3172, 6344

Step-4: Factors of 12705

List of positive integer factors of 12705 that divides 12688 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 121, 165, 231, 363, 385, 605, 847, 1155, 1815, 2541, 4235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12688 and 12705. The biggest common factor number is the GCF number.
So the greatest common factor 12688 and 12705 is 1.

Also check out the Least Common Multiple of 12688 and 12705