What is the Greatest Common Factor of 30738 and 30745?

Greatest common factor (GCF) of 30738 and 30745 is 1.

GCF(30738,30745) = 1

We will now calculate the prime factors of 30738 and 30745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30738 and 30745.

How to find the GCF of 30738 and 30745?

We will first find the prime factorization of 30738 and 30745. After we will calculate the factors of 30738 and 30745 and find the biggest common factor number .

Step-1: Prime Factorization of 30738

Prime factors of 30738 are 2, 3, 47, 109. Prime factorization of 30738 in exponential form is:

30738 = 2¹ × 3¹ × 47¹ × 109¹

Step-2: Prime Factorization of 30745

Prime factors of 30745 are 5, 11, 13, 43. Prime factorization of 30745 in exponential form is:

30745 = 5¹ × 11¹ × 13¹ × 43¹

Step-3: Factors of 30738

List of positive integer factors of 30738 that divides 30738 without a remainder.

1, 2, 3, 6, 47, 94, 109, 141, 218, 282, 327, 654, 5123, 10246, 15369

Step-4: Factors of 30745

List of positive integer factors of 30745 that divides 30738 without a remainder.

1, 5, 11, 13, 43, 55, 65, 143, 215, 473, 559, 715, 2365, 2795, 6149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30738 and 30745. The biggest common factor number is the GCF number.
So the greatest common factor 30738 and 30745 is 1.

Also check out the Least Common Multiple of 30738 and 30745