What is the Greatest Common Factor of 30735 and 30747?

Greatest common factor (GCF) of 30735 and 30747 is 3.

GCF(30735,30747) = 3

We will now calculate the prime factors of 30735 and 30747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30735 and 30747.

How to find the GCF of 30735 and 30747?

We will first find the prime factorization of 30735 and 30747. After we will calculate the factors of 30735 and 30747 and find the biggest common factor number .

Step-1: Prime Factorization of 30735

Prime factors of 30735 are 3, 5, 683. Prime factorization of 30735 in exponential form is:

30735 = 3² × 5¹ × 683¹

Step-2: Prime Factorization of 30747

Prime factors of 30747 are 3, 37, 277. Prime factorization of 30747 in exponential form is:

30747 = 3¹ × 37¹ × 277¹

Step-3: Factors of 30735

List of positive integer factors of 30735 that divides 30735 without a remainder.

1, 3, 5, 9, 15, 45, 683, 2049, 3415, 6147, 10245

Step-4: Factors of 30747

List of positive integer factors of 30747 that divides 30735 without a remainder.

1, 3, 37, 111, 277, 831, 10249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30735 and 30747. The biggest common factor number is the GCF number.
So the greatest common factor 30735 and 30747 is 3.

Also check out the Least Common Multiple of 30735 and 30747