What is the Greatest Common Factor of 2401 and 2415?

Greatest common factor (GCF) of 2401 and 2415 is 7.

GCF(2401,2415) = 7

We will now calculate the prime factors of 2401 and 2415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2401 and 2415.

How to find the GCF of 2401 and 2415?

We will first find the prime factorization of 2401 and 2415. After we will calculate the factors of 2401 and 2415 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 2415

Prime factors of 2415 are 3, 5, 7, 23. Prime factorization of 2415 in exponential form is:

2415 = 3¹ × 5¹ × 7¹ × 23¹

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 2415

List of positive integer factors of 2415 that divides 2401 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2401 and 2415. The biggest common factor number is the GCF number.
So the greatest common factor 2401 and 2415 is 7.

Also check out the Least Common Multiple of 2401 and 2415