What is the Greatest Common Factor of 6416 and 6428?

Greatest common factor (GCF) of 6416 and 6428 is 4.

GCF(6416,6428) = 4

We will now calculate the prime factors of 6416 and 6428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6416 and 6428.

How to find the GCF of 6416 and 6428?

We will first find the prime factorization of 6416 and 6428. After we will calculate the factors of 6416 and 6428 and find the biggest common factor number .

Step-1: Prime Factorization of 6416

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

6416 = 2⁴ × 401¹

Step-2: Prime Factorization of 6428

Prime factors of 6428 are 2, 1607. Prime factorization of 6428 in exponential form is:

6428 = 2² × 1607¹

Step-3: Factors of 6416

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

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

Step-4: Factors of 6428

List of positive integer factors of 6428 that divides 6416 without a remainder.

1, 2, 4, 1607, 3214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6416 and 6428. The biggest common factor number is the GCF number.
So the greatest common factor 6416 and 6428 is 4.

Also check out the Least Common Multiple of 6416 and 6428