What is the Greatest Common Factor of 12696 and 12702?

Greatest common factor (GCF) of 12696 and 12702 is 6.

GCF(12696,12702) = 6

We will now calculate the prime factors of 12696 and 12702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12696 and 12702.

How to find the GCF of 12696 and 12702?

We will first find the prime factorization of 12696 and 12702. After we will calculate the factors of 12696 and 12702 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 12702

Prime factors of 12702 are 2, 3, 29, 73. Prime factorization of 12702 in exponential form is:

12702 = 2¹ × 3¹ × 29¹ × 73¹

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 12702

List of positive integer factors of 12702 that divides 12696 without a remainder.

1, 2, 3, 6, 29, 58, 73, 87, 146, 174, 219, 438, 2117, 4234, 6351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12696 and 12702. The biggest common factor number is the GCF number.
So the greatest common factor 12696 and 12702 is 6.

Also check out the Least Common Multiple of 12696 and 12702