What is the Greatest Common Factor of 2401 and 2413?

Greatest common factor (GCF) of 2401 and 2413 is 1.

GCF(2401,2413) = 1

We will now calculate the prime factors of 2401 and 2413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2401 and 2413.

How to find the GCF of 2401 and 2413?

We will first find the prime factorization of 2401 and 2413. After we will calculate the factors of 2401 and 2413 and find the biggest common factor number .

Step-1: Prime Factorization of 2401

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

2401 = 7⁴

Step-2: Prime Factorization of 2413

Prime factors of 2413 are 19, 127. Prime factorization of 2413 in exponential form is:

2413 = 19¹ × 127¹

Step-3: Factors of 2401

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

1, 7, 49, 343

Step-4: Factors of 2413

List of positive integer factors of 2413 that divides 2401 without a remainder.

1, 19, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2401 and 2413. The biggest common factor number is the GCF number.
So the greatest common factor 2401 and 2413 is 1.

Also check out the Least Common Multiple of 2401 and 2413