What is the Greatest Common Factor of 6432 and 6441?

Greatest common factor (GCF) of 6432 and 6441 is 3.

GCF(6432,6441) = 3

We will now calculate the prime factors of 6432 and 6441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6432 and 6441.

How to find the GCF of 6432 and 6441?

We will first find the prime factorization of 6432 and 6441. After we will calculate the factors of 6432 and 6441 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 6441

Prime factors of 6441 are 3, 19, 113. Prime factorization of 6441 in exponential form is:

6441 = 3¹ × 19¹ × 113¹

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 6441

List of positive integer factors of 6441 that divides 6432 without a remainder.

1, 3, 19, 57, 113, 339, 2147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6432 and 6441. The biggest common factor number is the GCF number.
So the greatest common factor 6432 and 6441 is 3.

Also check out the Least Common Multiple of 6432 and 6441