What is the Greatest Common Factor of 30742 and 30748?

Greatest common factor (GCF) of 30742 and 30748 is 2.

GCF(30742,30748) = 2

We will now calculate the prime factors of 30742 and 30748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30742 and 30748.

How to find the GCF of 30742 and 30748?

We will first find the prime factorization of 30742 and 30748. After we will calculate the factors of 30742 and 30748 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 30748

Prime factors of 30748 are 2, 7687. Prime factorization of 30748 in exponential form is:

30748 = 2² × 7687¹

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 30748

List of positive integer factors of 30748 that divides 30742 without a remainder.

1, 2, 4, 7687, 15374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30742 and 30748. The biggest common factor number is the GCF number.
So the greatest common factor 30742 and 30748 is 2.

Also check out the Least Common Multiple of 30742 and 30748