What is the Greatest Common Factor of 30850 and 30870?

Greatest common factor (GCF) of 30850 and 30870 is 10.

GCF(30850,30870) = 10

We will now calculate the prime factors of 30850 and 30870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30850 and 30870.

How to find the GCF of 30850 and 30870?

We will first find the prime factorization of 30850 and 30870. After we will calculate the factors of 30850 and 30870 and find the biggest common factor number .

Step-1: Prime Factorization of 30850

Prime factors of 30850 are 2, 5, 617. Prime factorization of 30850 in exponential form is:

30850 = 2¹ × 5² × 617¹

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 30850

List of positive integer factors of 30850 that divides 30850 without a remainder.

1, 2, 5, 10, 25, 50, 617, 1234, 3085, 6170, 15425

Step-4: Factors of 30870

List of positive integer factors of 30870 that divides 30850 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 30850 and 30870. The biggest common factor number is the GCF number.
So the greatest common factor 30850 and 30870 is 10.

Also check out the Least Common Multiple of 30850 and 30870