What is the Greatest Common Factor of 12735 and 12747?

Greatest common factor (GCF) of 12735 and 12747 is 3.

GCF(12735,12747) = 3

We will now calculate the prime factors of 12735 and 12747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12735 and 12747.

How to find the GCF of 12735 and 12747?

We will first find the prime factorization of 12735 and 12747. After we will calculate the factors of 12735 and 12747 and find the biggest common factor number .

Step-1: Prime Factorization of 12735

Prime factors of 12735 are 3, 5, 283. Prime factorization of 12735 in exponential form is:

12735 = 3² × 5¹ × 283¹

Step-2: Prime Factorization of 12747

Prime factors of 12747 are 3, 7, 607. Prime factorization of 12747 in exponential form is:

12747 = 3¹ × 7¹ × 607¹

Step-3: Factors of 12735

List of positive integer factors of 12735 that divides 12735 without a remainder.

1, 3, 5, 9, 15, 45, 283, 849, 1415, 2547, 4245

Step-4: Factors of 12747

List of positive integer factors of 12747 that divides 12735 without a remainder.

1, 3, 7, 21, 607, 1821, 4249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12735 and 12747. The biggest common factor number is the GCF number.
So the greatest common factor 12735 and 12747 is 3.

Also check out the Least Common Multiple of 12735 and 12747