What is the Greatest Common Factor of 6444 and 6448?

Greatest common factor (GCF) of 6444 and 6448 is 4.

GCF(6444,6448) = 4

We will now calculate the prime factors of 6444 and 6448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6444 and 6448.

How to find the GCF of 6444 and 6448?

We will first find the prime factorization of 6444 and 6448. After we will calculate the factors of 6444 and 6448 and find the biggest common factor number .

Step-1: Prime Factorization of 6444

Prime factors of 6444 are 2, 3, 179. Prime factorization of 6444 in exponential form is:

6444 = 2² × 3² × 179¹

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 6444

List of positive integer factors of 6444 that divides 6444 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222

Step-4: Factors of 6448

List of positive integer factors of 6448 that divides 6444 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 6444 and 6448. The biggest common factor number is the GCF number.
So the greatest common factor 6444 and 6448 is 4.

Also check out the Least Common Multiple of 6444 and 6448