What is the Greatest Common Factor of 6404 and 6416?

Greatest common factor (GCF) of 6404 and 6416 is 4.

GCF(6404,6416) = 4

We will now calculate the prime factors of 6404 and 6416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6404 and 6416.

How to find the GCF of 6404 and 6416?

We will first find the prime factorization of 6404 and 6416. After we will calculate the factors of 6404 and 6416 and find the biggest common factor number .

Step-1: Prime Factorization of 6404

Prime factors of 6404 are 2, 1601. Prime factorization of 6404 in exponential form is:

6404 = 2² × 1601¹

Step-2: Prime Factorization of 6416

Prime factors of 6416 are 2, 401. Prime factorization of 6416 in exponential form is:

6416 = 2⁴ × 401¹

Step-3: Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1, 2, 4, 1601, 3202

Step-4: Factors of 6416

List of positive integer factors of 6416 that divides 6404 without a remainder.

1, 2, 4, 8, 16, 401, 802, 1604, 3208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6404 and 6416. The biggest common factor number is the GCF number.
So the greatest common factor 6404 and 6416 is 4.

Also check out the Least Common Multiple of 6404 and 6416