What is the Greatest Common Factor of 30870 and 30890?

Greatest common factor (GCF) of 30870 and 30890 is 10.

GCF(30870,30890) = 10

We will now calculate the prime factors of 30870 and 30890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30870 and 30890.

How to find the GCF of 30870 and 30890?

We will first find the prime factorization of 30870 and 30890. After we will calculate the factors of 30870 and 30890 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 30890

Prime factors of 30890 are 2, 5, 3089. Prime factorization of 30890 in exponential form is:

30890 = 2¹ × 5¹ × 3089¹

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 30890

List of positive integer factors of 30890 that divides 30870 without a remainder.

1, 2, 5, 10, 3089, 6178, 15445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30870 and 30890. The biggest common factor number is the GCF number.
So the greatest common factor 30870 and 30890 is 10.

Also check out the Least Common Multiple of 30870 and 30890