What is the Greatest Common Factor of 30870 and 30876?

Greatest common factor (GCF) of 30870 and 30876 is 6.

GCF(30870,30876) = 6

We will now calculate the prime factors of 30870 and 30876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30870 and 30876.

How to find the GCF of 30870 and 30876?

We will first find the prime factorization of 30870 and 30876. After we will calculate the factors of 30870 and 30876 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30876

Prime factors of 30876 are 2, 3, 31, 83. Prime factorization of 30876 in exponential form is:

30876 = 2² × 3¹ × 31¹ × 83¹

Step-3: Factors of 30870

List of positive integer factors of 30870 that divides 30870 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

Step-4: Factors of 30876

List of positive integer factors of 30876 that divides 30870 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 83, 93, 124, 166, 186, 249, 332, 372, 498, 996, 2573, 5146, 7719, 10292, 15438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30870 and 30876. The biggest common factor number is the GCF number.
So the greatest common factor 30870 and 30876 is 6.

Also check out the Least Common Multiple of 30870 and 30876