What is the Greatest Common Factor of 16445 and 16460?

Greatest common factor (GCF) of 16445 and 16460 is 5.

GCF(16445,16460) = 5

We will now calculate the prime factors of 16445 and 16460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16445 and 16460.

How to find the GCF of 16445 and 16460?

We will first find the prime factorization of 16445 and 16460. After we will calculate the factors of 16445 and 16460 and find the biggest common factor number .

Step-1: Prime Factorization of 16445

Prime factors of 16445 are 5, 11, 13, 23. Prime factorization of 16445 in exponential form is:

16445 = 5¹ × 11¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 16445

List of positive integer factors of 16445 that divides 16445 without a remainder.

1, 5, 11, 13, 23, 55, 65, 115, 143, 253, 299, 715, 1265, 1495, 3289

Step-4: Factors of 16460

List of positive integer factors of 16460 that divides 16445 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16445 and 16460. The biggest common factor number is the GCF number.
So the greatest common factor 16445 and 16460 is 5.

Also check out the Least Common Multiple of 16445 and 16460