What is the Greatest Common Factor of 6414 and 6432?

Greatest common factor (GCF) of 6414 and 6432 is 6.

GCF(6414,6432) = 6

We will now calculate the prime factors of 6414 and 6432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6414 and 6432.

How to find the GCF of 6414 and 6432?

We will first find the prime factorization of 6414 and 6432. After we will calculate the factors of 6414 and 6432 and find the biggest common factor number .

Step-1: Prime Factorization of 6414

Prime factors of 6414 are 2, 3, 1069. Prime factorization of 6414 in exponential form is:

6414 = 2¹ × 3¹ × 1069¹

Step-2: 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-3: Factors of 6414

List of positive integer factors of 6414 that divides 6414 without a remainder.

1, 2, 3, 6, 1069, 2138, 3207

Step-4: Factors of 6432

List of positive integer factors of 6432 that divides 6414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6414 and 6432. The biggest common factor number is the GCF number.
So the greatest common factor 6414 and 6432 is 6.

Also check out the Least Common Multiple of 6414 and 6432