What is the Greatest Common Factor of 30855 and 30865?

Greatest common factor (GCF) of 30855 and 30865 is 5.

GCF(30855,30865) = 5

We will now calculate the prime factors of 30855 and 30865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30855 and 30865.

How to find the GCF of 30855 and 30865?

We will first find the prime factorization of 30855 and 30865. After we will calculate the factors of 30855 and 30865 and find the biggest common factor number .

Step-1: Prime Factorization of 30855

Prime factors of 30855 are 3, 5, 11, 17. Prime factorization of 30855 in exponential form is:

30855 = 3¹ × 5¹ × 11² × 17¹

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 30855

List of positive integer factors of 30855 that divides 30855 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 121, 165, 187, 255, 363, 561, 605, 935, 1815, 2057, 2805, 6171, 10285

Step-4: Factors of 30865

List of positive integer factors of 30865 that divides 30855 without a remainder.

1, 5, 6173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30855 and 30865. The biggest common factor number is the GCF number.
So the greatest common factor 30855 and 30865 is 5.

Also check out the Least Common Multiple of 30855 and 30865