What is the Greatest Common Factor of 12726 and 12733?

Greatest common factor (GCF) of 12726 and 12733 is 7.

GCF(12726,12733) = 7

We will now calculate the prime factors of 12726 and 12733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12726 and 12733.

How to find the GCF of 12726 and 12733?

We will first find the prime factorization of 12726 and 12733. After we will calculate the factors of 12726 and 12733 and find the biggest common factor number .

Step-1: Prime Factorization of 12726

Prime factors of 12726 are 2, 3, 7, 101. Prime factorization of 12726 in exponential form is:

12726 = 2¹ × 3² × 7¹ × 101¹

Step-2: Prime Factorization of 12733

Prime factors of 12733 are 7, 17, 107. Prime factorization of 12733 in exponential form is:

12733 = 7¹ × 17¹ × 107¹

Step-3: Factors of 12726

List of positive integer factors of 12726 that divides 12726 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 101, 126, 202, 303, 606, 707, 909, 1414, 1818, 2121, 4242, 6363

Step-4: Factors of 12733

List of positive integer factors of 12733 that divides 12726 without a remainder.

1, 7, 17, 107, 119, 749, 1819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12726 and 12733. The biggest common factor number is the GCF number.
So the greatest common factor 12726 and 12733 is 7.

Also check out the Least Common Multiple of 12726 and 12733