What is the Greatest Common Factor of 16685 and 16703?

Greatest common factor (GCF) of 16685 and 16703 is 1.

GCF(16685,16703) = 1

We will now calculate the prime factors of 16685 and 16703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16685 and 16703.

How to find the GCF of 16685 and 16703?

We will first find the prime factorization of 16685 and 16703. After we will calculate the factors of 16685 and 16703 and find the biggest common factor number .

Step-1: Prime Factorization of 16685

Prime factors of 16685 are 5, 47, 71. Prime factorization of 16685 in exponential form is:

16685 = 5¹ × 47¹ × 71¹

Step-2: Prime Factorization of 16703

Prime factors of 16703 are 16703. Prime factorization of 16703 in exponential form is:

16703 = 16703¹

Step-3: Factors of 16685

List of positive integer factors of 16685 that divides 16685 without a remainder.

1, 5, 47, 71, 235, 355, 3337

Step-4: Factors of 16703

List of positive integer factors of 16703 that divides 16685 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16685 and 16703. The biggest common factor number is the GCF number.
So the greatest common factor 16685 and 16703 is 1.

Also check out the Least Common Multiple of 16685 and 16703