What is the Greatest Common Factor of 12696 and 12707?

Greatest common factor (GCF) of 12696 and 12707 is 1.

GCF(12696,12707) = 1

We will now calculate the prime factors of 12696 and 12707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12696 and 12707.

How to find the GCF of 12696 and 12707?

We will first find the prime factorization of 12696 and 12707. After we will calculate the factors of 12696 and 12707 and find the biggest common factor number .

Step-1: Prime Factorization of 12696

Prime factors of 12696 are 2, 3, 23. Prime factorization of 12696 in exponential form is:

12696 = 2³ × 3¹ × 23²

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 12696

List of positive integer factors of 12696 that divides 12696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 529, 552, 1058, 1587, 2116, 3174, 4232, 6348

Step-4: Factors of 12707

List of positive integer factors of 12707 that divides 12696 without a remainder.

1, 97, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12696 and 12707. The biggest common factor number is the GCF number.
So the greatest common factor 12696 and 12707 is 1.

Also check out the Least Common Multiple of 12696 and 12707