What is the Greatest Common Factor of 6364 and 6378?

Greatest common factor (GCF) of 6364 and 6378 is 2.

GCF(6364,6378) = 2

We will now calculate the prime factors of 6364 and 6378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6364 and 6378.

How to find the GCF of 6364 and 6378?

We will first find the prime factorization of 6364 and 6378. After we will calculate the factors of 6364 and 6378 and find the biggest common factor number .

Step-1: Prime Factorization of 6364

Prime factors of 6364 are 2, 37, 43. Prime factorization of 6364 in exponential form is:

6364 = 2² × 37¹ × 43¹

Step-2: Prime Factorization of 6378

Prime factors of 6378 are 2, 3, 1063. Prime factorization of 6378 in exponential form is:

6378 = 2¹ × 3¹ × 1063¹

Step-3: Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182

Step-4: Factors of 6378

List of positive integer factors of 6378 that divides 6364 without a remainder.

1, 2, 3, 6, 1063, 2126, 3189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6364 and 6378. The biggest common factor number is the GCF number.
So the greatest common factor 6364 and 6378 is 2.

Also check out the Least Common Multiple of 6364 and 6378