What is the Greatest Common Factor of 30768 and 30787?

Greatest common factor (GCF) of 30768 and 30787 is 1.

GCF(30768,30787) = 1

We will now calculate the prime factors of 30768 and 30787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30768 and 30787.

How to find the GCF of 30768 and 30787?

We will first find the prime factorization of 30768 and 30787. After we will calculate the factors of 30768 and 30787 and find the biggest common factor number .

Step-1: Prime Factorization of 30768

Prime factors of 30768 are 2, 3, 641. Prime factorization of 30768 in exponential form is:

30768 = 2⁴ × 3¹ × 641¹

Step-2: Prime Factorization of 30787

Prime factors of 30787 are 17, 1811. Prime factorization of 30787 in exponential form is:

30787 = 17¹ × 1811¹

Step-3: Factors of 30768

List of positive integer factors of 30768 that divides 30768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 641, 1282, 1923, 2564, 3846, 5128, 7692, 10256, 15384

Step-4: Factors of 30787

List of positive integer factors of 30787 that divides 30768 without a remainder.

1, 17, 1811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30768 and 30787. The biggest common factor number is the GCF number.
So the greatest common factor 30768 and 30787 is 1.

Also check out the Least Common Multiple of 30768 and 30787