What is the Greatest Common Factor of 6364 and 6376?

Greatest common factor (GCF) of 6364 and 6376 is 4.

GCF(6364,6376) = 4

We will now calculate the prime factors of 6364 and 6376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6364 and 6376.

How to find the GCF of 6364 and 6376?

We will first find the prime factorization of 6364 and 6376. After we will calculate the factors of 6364 and 6376 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 6376

Prime factors of 6376 are 2, 797. Prime factorization of 6376 in exponential form is:

6376 = 2³ × 797¹

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 6376

List of positive integer factors of 6376 that divides 6364 without a remainder.

1, 2, 4, 8, 797, 1594, 3188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6364 and 6376. The biggest common factor number is the GCF number.
So the greatest common factor 6364 and 6376 is 4.

Also check out the Least Common Multiple of 6364 and 6376