What is the Greatest Common Factor of 16475 and 16495?

Greatest common factor (GCF) of 16475 and 16495 is 5.

GCF(16475,16495) = 5

We will now calculate the prime factors of 16475 and 16495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16475 and 16495.

How to find the GCF of 16475 and 16495?

We will first find the prime factorization of 16475 and 16495. After we will calculate the factors of 16475 and 16495 and find the biggest common factor number .

Step-1: Prime Factorization of 16475

Prime factors of 16475 are 5, 659. Prime factorization of 16475 in exponential form is:

16475 = 5² × 659¹

Step-2: Prime Factorization of 16495

Prime factors of 16495 are 5, 3299. Prime factorization of 16495 in exponential form is:

16495 = 5¹ × 3299¹

Step-3: Factors of 16475

List of positive integer factors of 16475 that divides 16475 without a remainder.

1, 5, 25, 659, 3295

Step-4: Factors of 16495

List of positive integer factors of 16495 that divides 16475 without a remainder.

1, 5, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16475 and 16495. The biggest common factor number is the GCF number.
So the greatest common factor 16475 and 16495 is 5.

Also check out the Least Common Multiple of 16475 and 16495