What is the Greatest Common Factor of 16485 and 16505?

Greatest common factor (GCF) of 16485 and 16505 is 5.

GCF(16485,16505) = 5

We will now calculate the prime factors of 16485 and 16505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16485 and 16505.

How to find the GCF of 16485 and 16505?

We will first find the prime factorization of 16485 and 16505. After we will calculate the factors of 16485 and 16505 and find the biggest common factor number .

Step-1: Prime Factorization of 16485

Prime factors of 16485 are 3, 5, 7, 157. Prime factorization of 16485 in exponential form is:

16485 = 3¹ × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 16505

Prime factors of 16505 are 5, 3301. Prime factorization of 16505 in exponential form is:

16505 = 5¹ × 3301¹

Step-3: Factors of 16485

List of positive integer factors of 16485 that divides 16485 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 157, 471, 785, 1099, 2355, 3297, 5495

Step-4: Factors of 16505

List of positive integer factors of 16505 that divides 16485 without a remainder.

1, 5, 3301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16485 and 16505. The biggest common factor number is the GCF number.
So the greatest common factor 16485 and 16505 is 5.

Also check out the Least Common Multiple of 16485 and 16505