What is the Greatest Common Factor of 12672 and 12683?

Greatest common factor (GCF) of 12672 and 12683 is 11.

GCF(12672,12683) = 11

We will now calculate the prime factors of 12672 and 12683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12672 and 12683.

How to find the GCF of 12672 and 12683?

We will first find the prime factorization of 12672 and 12683. After we will calculate the factors of 12672 and 12683 and find the biggest common factor number .

Step-1: Prime Factorization of 12672

Prime factors of 12672 are 2, 3, 11. Prime factorization of 12672 in exponential form is:

12672 = 2⁷ × 3² × 11¹

Step-2: Prime Factorization of 12683

Prime factors of 12683 are 11, 1153. Prime factorization of 12683 in exponential form is:

12683 = 11¹ × 1153¹

Step-3: Factors of 12672

List of positive integer factors of 12672 that divides 12672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 264, 288, 352, 384, 396, 528, 576, 704, 792, 1056, 1152, 1408, 1584, 2112, 3168, 4224, 6336

Step-4: Factors of 12683

List of positive integer factors of 12683 that divides 12672 without a remainder.

1, 11, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12672 and 12683. The biggest common factor number is the GCF number.
So the greatest common factor 12672 and 12683 is 11.

Also check out the Least Common Multiple of 12672 and 12683