What is the Greatest Common Factor of 16460 and 16465?

Greatest common factor (GCF) of 16460 and 16465 is 5.

GCF(16460,16465) = 5

We will now calculate the prime factors of 16460 and 16465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16460 and 16465.

How to find the GCF of 16460 and 16465?

We will first find the prime factorization of 16460 and 16465. After we will calculate the factors of 16460 and 16465 and find the biggest common factor number .

Step-1: Prime Factorization of 16460

Prime factors of 16460 are 2, 5, 823. Prime factorization of 16460 in exponential form is:

16460 = 2² × 5¹ × 823¹

Step-2: Prime Factorization of 16465

Prime factors of 16465 are 5, 37, 89. Prime factorization of 16465 in exponential form is:

16465 = 5¹ × 37¹ × 89¹

Step-3: Factors of 16460

List of positive integer factors of 16460 that divides 16460 without a remainder.

1, 2, 4, 5, 10, 20, 823, 1646, 3292, 4115, 8230

Step-4: Factors of 16465

List of positive integer factors of 16465 that divides 16460 without a remainder.

1, 5, 37, 89, 185, 445, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16460 and 16465. The biggest common factor number is the GCF number.
So the greatest common factor 16460 and 16465 is 5.

Also check out the Least Common Multiple of 16460 and 16465