What is the Greatest Common Factor of 2385 and 2401?

Greatest common factor (GCF) of 2385 and 2401 is 1.

GCF(2385,2401) = 1

We will now calculate the prime factors of 2385 and 2401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2385 and 2401.

How to find the GCF of 2385 and 2401?

We will first find the prime factorization of 2385 and 2401. After we will calculate the factors of 2385 and 2401 and find the biggest common factor number .

Step-1: Prime Factorization of 2385

Prime factors of 2385 are 3, 5, 53. Prime factorization of 2385 in exponential form is:

2385 = 3² × 5¹ × 53¹

Step-2: Prime Factorization of 2401

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 7⁴

Step-3: Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795

Step-4: Factors of 2401

List of positive integer factors of 2401 that divides 2385 without a remainder.

1, 7, 49, 343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2385 and 2401. The biggest common factor number is the GCF number.
So the greatest common factor 2385 and 2401 is 1.

Also check out the Least Common Multiple of 2385 and 2401