What is the Greatest Common Factor of 16870 and 16876?

Greatest common factor (GCF) of 16870 and 16876 is 2.

GCF(16870,16876) = 2

We will now calculate the prime factors of 16870 and 16876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16870 and 16876.

How to find the GCF of 16870 and 16876?

We will first find the prime factorization of 16870 and 16876. After we will calculate the factors of 16870 and 16876 and find the biggest common factor number .

Step-1: Prime Factorization of 16870

Prime factors of 16870 are 2, 5, 7, 241. Prime factorization of 16870 in exponential form is:

16870 = 2¹ × 5¹ × 7¹ × 241¹

Step-2: Prime Factorization of 16876

Prime factors of 16876 are 2, 4219. Prime factorization of 16876 in exponential form is:

16876 = 2² × 4219¹

Step-3: Factors of 16870

List of positive integer factors of 16870 that divides 16870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 241, 482, 1205, 1687, 2410, 3374, 8435

Step-4: Factors of 16876

List of positive integer factors of 16876 that divides 16870 without a remainder.

1, 2, 4, 4219, 8438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16870 and 16876. The biggest common factor number is the GCF number.
So the greatest common factor 16870 and 16876 is 2.

Also check out the Least Common Multiple of 16870 and 16876