What is the Greatest Common Factor of 30845 and 30865?

Greatest common factor (GCF) of 30845 and 30865 is 5.

GCF(30845,30865) = 5

We will now calculate the prime factors of 30845 and 30865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30845 and 30865.

How to find the GCF of 30845 and 30865?

We will first find the prime factorization of 30845 and 30865. After we will calculate the factors of 30845 and 30865 and find the biggest common factor number .

Step-1: Prime Factorization of 30845

Prime factors of 30845 are 5, 31, 199. Prime factorization of 30845 in exponential form is:

30845 = 5¹ × 31¹ × 199¹

Step-2: Prime Factorization of 30865

Prime factors of 30865 are 5, 6173. Prime factorization of 30865 in exponential form is:

30865 = 5¹ × 6173¹

Step-3: Factors of 30845

List of positive integer factors of 30845 that divides 30845 without a remainder.

1, 5, 31, 155, 199, 995, 6169

Step-4: Factors of 30865

List of positive integer factors of 30865 that divides 30845 without a remainder.

1, 5, 6173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30845 and 30865. The biggest common factor number is the GCF number.
So the greatest common factor 30845 and 30865 is 5.

Also check out the Least Common Multiple of 30845 and 30865