What is the Greatest Common Factor of 30742 and 30761?

Greatest common factor (GCF) of 30742 and 30761 is 19.

GCF(30742,30761) = 19

We will now calculate the prime factors of 30742 and 30761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30742 and 30761.

How to find the GCF of 30742 and 30761?

We will first find the prime factorization of 30742 and 30761. After we will calculate the factors of 30742 and 30761 and find the biggest common factor number .

Step-1: Prime Factorization of 30742

Prime factors of 30742 are 2, 19, 809. Prime factorization of 30742 in exponential form is:

30742 = 2¹ × 19¹ × 809¹

Step-2: Prime Factorization of 30761

Prime factors of 30761 are 19, 1619. Prime factorization of 30761 in exponential form is:

30761 = 19¹ × 1619¹

Step-3: Factors of 30742

List of positive integer factors of 30742 that divides 30742 without a remainder.

1, 2, 19, 38, 809, 1618, 15371

Step-4: Factors of 30761

List of positive integer factors of 30761 that divides 30742 without a remainder.

1, 19, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30742 and 30761. The biggest common factor number is the GCF number.
So the greatest common factor 30742 and 30761 is 19.

Also check out the Least Common Multiple of 30742 and 30761