What is the Greatest Common Factor of 30743 and 30759?

Greatest common factor (GCF) of 30743 and 30759 is 1.

GCF(30743,30759) = 1

We will now calculate the prime factors of 30743 and 30759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30743 and 30759.

How to find the GCF of 30743 and 30759?

We will first find the prime factorization of 30743 and 30759. After we will calculate the factors of 30743 and 30759 and find the biggest common factor number .

Step-1: Prime Factorization of 30743

Prime factors of 30743 are 71, 433. Prime factorization of 30743 in exponential form is:

30743 = 71¹ × 433¹

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 30743

List of positive integer factors of 30743 that divides 30743 without a remainder.

1, 71, 433

Step-4: Factors of 30759

List of positive integer factors of 30759 that divides 30743 without a remainder.

1, 3, 10253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30743 and 30759. The biggest common factor number is the GCF number.
So the greatest common factor 30743 and 30759 is 1.

Also check out the Least Common Multiple of 30743 and 30759