What is the Greatest Common Factor of 30748 and 30761?

Greatest common factor (GCF) of 30748 and 30761 is 1.

GCF(30748,30761) = 1

We will now calculate the prime factors of 30748 and 30761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30748 and 30761.

How to find the GCF of 30748 and 30761?

We will first find the prime factorization of 30748 and 30761. After we will calculate the factors of 30748 and 30761 and find the biggest common factor number .

Step-1: Prime Factorization of 30748

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

30748 = 2² × 7687¹

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 30748

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

1, 2, 4, 7687, 15374

Step-4: Factors of 30761

List of positive integer factors of 30761 that divides 30748 without a remainder.

1, 19, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30748 and 30761. The biggest common factor number is the GCF number.
So the greatest common factor 30748 and 30761 is 1.

Also check out the Least Common Multiple of 30748 and 30761