What is the Greatest Common Factor of 6444 and 6458?

Greatest common factor (GCF) of 6444 and 6458 is 2.

GCF(6444,6458) = 2

We will now calculate the prime factors of 6444 and 6458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6444 and 6458.

How to find the GCF of 6444 and 6458?

We will first find the prime factorization of 6444 and 6458. After we will calculate the factors of 6444 and 6458 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 6458

Prime factors of 6458 are 2, 3229. Prime factorization of 6458 in exponential form is:

6458 = 2¹ × 3229¹

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 6458

List of positive integer factors of 6458 that divides 6444 without a remainder.

1, 2, 3229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6444 and 6458. The biggest common factor number is the GCF number.
So the greatest common factor 6444 and 6458 is 2.

Also check out the Least Common Multiple of 6444 and 6458