What is the Greatest Common Factor of 6390 and 6400?

Greatest common factor (GCF) of 6390 and 6400 is 10.

GCF(6390,6400) = 10

We will now calculate the prime factors of 6390 and 6400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6390 and 6400.

How to find the GCF of 6390 and 6400?

We will first find the prime factorization of 6390 and 6400. After we will calculate the factors of 6390 and 6400 and find the biggest common factor number .

Step-1: Prime Factorization of 6390

Prime factors of 6390 are 2, 3, 5, 71. Prime factorization of 6390 in exponential form is:

6390 = 2¹ × 3² × 5¹ × 71¹

Step-2: Prime Factorization of 6400

Prime factors of 6400 are 2, 5. Prime factorization of 6400 in exponential form is:

6400 = 2⁸ × 5²

Step-3: Factors of 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195

Step-4: Factors of 6400

List of positive integer factors of 6400 that divides 6390 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6390 and 6400. The biggest common factor number is the GCF number.
So the greatest common factor 6390 and 6400 is 10.

Also check out the Least Common Multiple of 6390 and 6400