What is the Greatest Common Factor of 16460 and 16468?

Greatest common factor (GCF) of 16460 and 16468 is 4.

GCF(16460,16468) = 4

We will now calculate the prime factors of 16460 and 16468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16460 and 16468.

How to find the GCF of 16460 and 16468?

We will first find the prime factorization of 16460 and 16468. After we will calculate the factors of 16460 and 16468 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 16468

Prime factors of 16468 are 2, 23, 179. Prime factorization of 16468 in exponential form is:

16468 = 2² × 23¹ × 179¹

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 16468

List of positive integer factors of 16468 that divides 16460 without a remainder.

1, 2, 4, 23, 46, 92, 179, 358, 716, 4117, 8234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16460 and 16468. The biggest common factor number is the GCF number.
So the greatest common factor 16460 and 16468 is 4.

Also check out the Least Common Multiple of 16460 and 16468