What is the Greatest Common Factor of 6850 and 6870?

Greatest common factor (GCF) of 6850 and 6870 is 10.

GCF(6850,6870) = 10

We will now calculate the prime factors of 6850 and 6870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6850 and 6870.

How to find the GCF of 6850 and 6870?

We will first find the prime factorization of 6850 and 6870. After we will calculate the factors of 6850 and 6870 and find the biggest common factor number .

Step-1: Prime Factorization of 6850

Prime factors of 6850 are 2, 5, 137. Prime factorization of 6850 in exponential form is:

6850 = 2¹ × 5² × 137¹

Step-2: Prime Factorization of 6870

Prime factors of 6870 are 2, 3, 5, 229. Prime factorization of 6870 in exponential form is:

6870 = 2¹ × 3¹ × 5¹ × 229¹

Step-3: Factors of 6850

List of positive integer factors of 6850 that divides 6850 without a remainder.

1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425

Step-4: Factors of 6870

List of positive integer factors of 6870 that divides 6850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6850 and 6870. The biggest common factor number is the GCF number.
So the greatest common factor 6850 and 6870 is 10.

Also check out the Least Common Multiple of 6850 and 6870