What is the Greatest Common Factor of 6386 and 6404?

Greatest common factor (GCF) of 6386 and 6404 is 2.

GCF(6386,6404) = 2

We will now calculate the prime factors of 6386 and 6404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6386 and 6404.

How to find the GCF of 6386 and 6404?

We will first find the prime factorization of 6386 and 6404. After we will calculate the factors of 6386 and 6404 and find the biggest common factor number .

Step-1: Prime Factorization of 6386

Prime factors of 6386 are 2, 31, 103. Prime factorization of 6386 in exponential form is:

6386 = 2¹ × 31¹ × 103¹

Step-2: Prime Factorization of 6404

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

6404 = 2² × 1601¹

Step-3: Factors of 6386

List of positive integer factors of 6386 that divides 6386 without a remainder.

1, 2, 31, 62, 103, 206, 3193

Step-4: Factors of 6404

List of positive integer factors of 6404 that divides 6386 without a remainder.

1, 2, 4, 1601, 3202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6386 and 6404. The biggest common factor number is the GCF number.
So the greatest common factor 6386 and 6404 is 2.

Also check out the Least Common Multiple of 6386 and 6404