What is the Greatest Common Factor of 30738 and 30757?

Greatest common factor (GCF) of 30738 and 30757 is 1.

GCF(30738,30757) = 1

We will now calculate the prime factors of 30738 and 30757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30738 and 30757.

How to find the GCF of 30738 and 30757?

We will first find the prime factorization of 30738 and 30757. After we will calculate the factors of 30738 and 30757 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 30757

Prime factors of 30757 are 30757. Prime factorization of 30757 in exponential form is:

30757 = 30757¹

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 30757

List of positive integer factors of 30757 that divides 30738 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30738 and 30757. The biggest common factor number is the GCF number.
So the greatest common factor 30738 and 30757 is 1.

Also check out the Least Common Multiple of 30738 and 30757