What is the Greatest Common Factor of 16860 and 16870?

Greatest common factor (GCF) of 16860 and 16870 is 10.

GCF(16860,16870) = 10

We will now calculate the prime factors of 16860 and 16870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16860 and 16870.

How to find the GCF of 16860 and 16870?

We will first find the prime factorization of 16860 and 16870. After we will calculate the factors of 16860 and 16870 and find the biggest common factor number .

Step-1: Prime Factorization of 16860

Prime factors of 16860 are 2, 3, 5, 281. Prime factorization of 16860 in exponential form is:

16860 = 2² × 3¹ × 5¹ × 281¹

Step-2: 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-3: Factors of 16860

List of positive integer factors of 16860 that divides 16860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 281, 562, 843, 1124, 1405, 1686, 2810, 3372, 4215, 5620, 8430

Step-4: Factors of 16870

List of positive integer factors of 16870 that divides 16860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16860 and 16870. The biggest common factor number is the GCF number.
So the greatest common factor 16860 and 16870 is 10.

Also check out the Least Common Multiple of 16860 and 16870