What is the Greatest Common Factor of 30770 and 30787?

Greatest common factor (GCF) of 30770 and 30787 is 17.

GCF(30770,30787) = 17

We will now calculate the prime factors of 30770 and 30787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30770 and 30787.

How to find the GCF of 30770 and 30787?

We will first find the prime factorization of 30770 and 30787. After we will calculate the factors of 30770 and 30787 and find the biggest common factor number .

Step-1: Prime Factorization of 30770

Prime factors of 30770 are 2, 5, 17, 181. Prime factorization of 30770 in exponential form is:

30770 = 2¹ × 5¹ × 17¹ × 181¹

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 30770

List of positive integer factors of 30770 that divides 30770 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 181, 362, 905, 1810, 3077, 6154, 15385

Step-4: Factors of 30787

List of positive integer factors of 30787 that divides 30770 without a remainder.

1, 17, 1811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30770 and 30787. The biggest common factor number is the GCF number.
So the greatest common factor 30770 and 30787 is 17.

Also check out the Least Common Multiple of 30770 and 30787