What is the Greatest Common Factor of 16735 and 16745?

Greatest common factor (GCF) of 16735 and 16745 is 5.

GCF(16735,16745) = 5

We will now calculate the prime factors of 16735 and 16745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16735 and 16745.

How to find the GCF of 16735 and 16745?

We will first find the prime factorization of 16735 and 16745. After we will calculate the factors of 16735 and 16745 and find the biggest common factor number .

Step-1: Prime Factorization of 16735

Prime factors of 16735 are 5, 3347. Prime factorization of 16735 in exponential form is:

16735 = 5¹ × 3347¹

Step-2: Prime Factorization of 16745

Prime factors of 16745 are 5, 17, 197. Prime factorization of 16745 in exponential form is:

16745 = 5¹ × 17¹ × 197¹

Step-3: Factors of 16735

List of positive integer factors of 16735 that divides 16735 without a remainder.

1, 5, 3347

Step-4: Factors of 16745

List of positive integer factors of 16745 that divides 16735 without a remainder.

1, 5, 17, 85, 197, 985, 3349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16735 and 16745. The biggest common factor number is the GCF number.
So the greatest common factor 16735 and 16745 is 5.

Also check out the Least Common Multiple of 16735 and 16745