What is the Greatest Common Factor of 4365 and 4381?

Greatest common factor (GCF) of 4365 and 4381 is 1.

GCF(4365,4381) = 1

We will now calculate the prime factors of 4365 and 4381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4365 and 4381.

How to find the GCF of 4365 and 4381?

We will first find the prime factorization of 4365 and 4381. After we will calculate the factors of 4365 and 4381 and find the biggest common factor number .

Step-1: Prime Factorization of 4365

Prime factors of 4365 are 3, 5, 97. Prime factorization of 4365 in exponential form is:

4365 = 3² × 5¹ × 97¹

Step-2: Prime Factorization of 4381

Prime factors of 4381 are 13, 337. Prime factorization of 4381 in exponential form is:

4381 = 13¹ × 337¹

Step-3: Factors of 4365

List of positive integer factors of 4365 that divides 4365 without a remainder.

1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455

Step-4: Factors of 4381

List of positive integer factors of 4381 that divides 4365 without a remainder.

1, 13, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4365 and 4381. The biggest common factor number is the GCF number.
So the greatest common factor 4365 and 4381 is 1.

Also check out the Least Common Multiple of 4365 and 4381