What is the Greatest Common Factor of 16845 and 16860?

Greatest common factor (GCF) of 16845 and 16860 is 15.

GCF(16845,16860) = 15

We will now calculate the prime factors of 16845 and 16860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16845 and 16860.

How to find the GCF of 16845 and 16860?

We will first find the prime factorization of 16845 and 16860. After we will calculate the factors of 16845 and 16860 and find the biggest common factor number .

Step-1: Prime Factorization of 16845

Prime factors of 16845 are 3, 5, 1123. Prime factorization of 16845 in exponential form is:

16845 = 3¹ × 5¹ × 1123¹

Step-2: 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-3: Factors of 16845

List of positive integer factors of 16845 that divides 16845 without a remainder.

1, 3, 5, 15, 1123, 3369, 5615

Step-4: Factors of 16860

List of positive integer factors of 16860 that divides 16845 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16845 and 16860. The biggest common factor number is the GCF number.
So the greatest common factor 16845 and 16860 is 15.

Also check out the Least Common Multiple of 16845 and 16860