What is the Greatest Common Factor of 30747 and 30759?

Greatest common factor (GCF) of 30747 and 30759 is 3.

GCF(30747,30759) = 3

We will now calculate the prime factors of 30747 and 30759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30747 and 30759.

How to find the GCF of 30747 and 30759?

We will first find the prime factorization of 30747 and 30759. After we will calculate the factors of 30747 and 30759 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30759

Prime factors of 30759 are 3, 10253. Prime factorization of 30759 in exponential form is:

30759 = 3¹ × 10253¹

Step-3: Factors of 30747

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

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

Step-4: Factors of 30759

List of positive integer factors of 30759 that divides 30747 without a remainder.

1, 3, 10253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30747 and 30759. The biggest common factor number is the GCF number.
So the greatest common factor 30747 and 30759 is 3.

Also check out the Least Common Multiple of 30747 and 30759