What is the Greatest Common Factor of 12688 and 12707?

Greatest common factor (GCF) of 12688 and 12707 is 1.

GCF(12688,12707) = 1

We will now calculate the prime factors of 12688 and 12707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12688 and 12707.

How to find the GCF of 12688 and 12707?

We will first find the prime factorization of 12688 and 12707. After we will calculate the factors of 12688 and 12707 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 12707

Prime factors of 12707 are 97, 131. Prime factorization of 12707 in exponential form is:

12707 = 97¹ × 131¹

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 12707

List of positive integer factors of 12707 that divides 12688 without a remainder.

1, 97, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12688 and 12707. The biggest common factor number is the GCF number.
So the greatest common factor 12688 and 12707 is 1.

Also check out the Least Common Multiple of 12688 and 12707