What is the Greatest Common Factor of 4395 and 4401?

Greatest common factor (GCF) of 4395 and 4401 is 3.

GCF(4395,4401) = 3

We will now calculate the prime factors of 4395 and 4401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4395 and 4401.

How to find the GCF of 4395 and 4401?

We will first find the prime factorization of 4395 and 4401. After we will calculate the factors of 4395 and 4401 and find the biggest common factor number .

Step-1: Prime Factorization of 4395

Prime factors of 4395 are 3, 5, 293. Prime factorization of 4395 in exponential form is:

4395 = 3¹ × 5¹ × 293¹

Step-2: Prime Factorization of 4401

Prime factors of 4401 are 3, 163. Prime factorization of 4401 in exponential form is:

4401 = 3³ × 163¹

Step-3: Factors of 4395

List of positive integer factors of 4395 that divides 4395 without a remainder.

1, 3, 5, 15, 293, 879, 1465

Step-4: Factors of 4401

List of positive integer factors of 4401 that divides 4395 without a remainder.

1, 3, 9, 27, 163, 489, 1467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4395 and 4401. The biggest common factor number is the GCF number.
So the greatest common factor 4395 and 4401 is 3.

Also check out the Least Common Multiple of 4395 and 4401