What is the Greatest Common Factor of 16485 and 16499?

Greatest common factor (GCF) of 16485 and 16499 is 7.

GCF(16485,16499) = 7

We will now calculate the prime factors of 16485 and 16499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16485 and 16499.

How to find the GCF of 16485 and 16499?

We will first find the prime factorization of 16485 and 16499. After we will calculate the factors of 16485 and 16499 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 16499

Prime factors of 16499 are 7, 2357. Prime factorization of 16499 in exponential form is:

16499 = 7¹ × 2357¹

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 16499

List of positive integer factors of 16499 that divides 16485 without a remainder.

1, 7, 2357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16485 and 16499. The biggest common factor number is the GCF number.
So the greatest common factor 16485 and 16499 is 7.

Also check out the Least Common Multiple of 16485 and 16499