What is the Greatest Common Factor of 6432 and 6444?

Greatest common factor (GCF) of 6432 and 6444 is 12.

GCF(6432,6444) = 12

We will now calculate the prime factors of 6432 and 6444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6432 and 6444.

How to find the GCF of 6432 and 6444?

We will first find the prime factorization of 6432 and 6444. After we will calculate the factors of 6432 and 6444 and find the biggest common factor number .

Step-1: Prime Factorization of 6432

Prime factors of 6432 are 2, 3, 67. Prime factorization of 6432 in exponential form is:

6432 = 2⁵ × 3¹ × 67¹

Step-2: 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-3: Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216

Step-4: Factors of 6444

List of positive integer factors of 6444 that divides 6432 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6432 and 6444. The biggest common factor number is the GCF number.
So the greatest common factor 6432 and 6444 is 12.

Also check out the Least Common Multiple of 6432 and 6444