What is the Greatest Common Factor of 6432 and 6436?

Greatest common factor (GCF) of 6432 and 6436 is 4.

GCF(6432,6436) = 4

We will now calculate the prime factors of 6432 and 6436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6432 and 6436.

How to find the GCF of 6432 and 6436?

We will first find the prime factorization of 6432 and 6436. After we will calculate the factors of 6432 and 6436 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 6436

Prime factors of 6436 are 2, 1609. Prime factorization of 6436 in exponential form is:

6436 = 2² × 1609¹

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 6436

List of positive integer factors of 6436 that divides 6432 without a remainder.

1, 2, 4, 1609, 3218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6432 and 6436. The biggest common factor number is the GCF number.
So the greatest common factor 6432 and 6436 is 4.

Also check out the Least Common Multiple of 6432 and 6436