What is the Greatest Common Factor of 30855 and 30870?

Greatest common factor (GCF) of 30855 and 30870 is 15.

GCF(30855,30870) = 15

We will now calculate the prime factors of 30855 and 30870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30855 and 30870.

How to find the GCF of 30855 and 30870?

We will first find the prime factorization of 30855 and 30870. After we will calculate the factors of 30855 and 30870 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 30870

Prime factors of 30870 are 2, 3, 5, 7. Prime factorization of 30870 in exponential form is:

30870 = 2¹ × 3² × 5¹ × 7³

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 30870

List of positive integer factors of 30870 that divides 30855 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 343, 441, 490, 630, 686, 735, 882, 1029, 1470, 1715, 2058, 2205, 3087, 3430, 4410, 5145, 6174, 10290, 15435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30855 and 30870. The biggest common factor number is the GCF number.
So the greatest common factor 30855 and 30870 is 15.

Also check out the Least Common Multiple of 30855 and 30870