What is the Greatest Common Factor of 6438 and 6448?

Greatest common factor (GCF) of 6438 and 6448 is 2.

GCF(6438,6448) = 2

We will now calculate the prime factors of 6438 and 6448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6438 and 6448.

How to find the GCF of 6438 and 6448?

We will first find the prime factorization of 6438 and 6448. After we will calculate the factors of 6438 and 6448 and find the biggest common factor number .

Step-1: Prime Factorization of 6438

Prime factors of 6438 are 2, 3, 29, 37. Prime factorization of 6438 in exponential form is:

6438 = 2¹ × 3¹ × 29¹ × 37¹

Step-2: Prime Factorization of 6448

Prime factors of 6448 are 2, 13, 31. Prime factorization of 6448 in exponential form is:

6448 = 2⁴ × 13¹ × 31¹

Step-3: Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219

Step-4: Factors of 6448

List of positive integer factors of 6448 that divides 6438 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6438 and 6448. The biggest common factor number is the GCF number.
So the greatest common factor 6438 and 6448 is 2.

Also check out the Least Common Multiple of 6438 and 6448