What is the Greatest Common Factor of 2431 and 2448?

Greatest common factor (GCF) of 2431 and 2448 is 17.

GCF(2431,2448) = 17

We will now calculate the prime factors of 2431 and 2448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2431 and 2448.

How to find the GCF of 2431 and 2448?

We will first find the prime factorization of 2431 and 2448. After we will calculate the factors of 2431 and 2448 and find the biggest common factor number .

Step-1: Prime Factorization of 2431

Prime factors of 2431 are 11, 13, 17. Prime factorization of 2431 in exponential form is:

2431 = 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 2448

Prime factors of 2448 are 2, 3, 17. Prime factorization of 2448 in exponential form is:

2448 = 2⁴ × 3² × 17¹

Step-3: Factors of 2431

List of positive integer factors of 2431 that divides 2431 without a remainder.

1, 11, 13, 17, 143, 187, 221

Step-4: Factors of 2448

List of positive integer factors of 2448 that divides 2431 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2431 and 2448. The biggest common factor number is the GCF number.
So the greatest common factor 2431 and 2448 is 17.

Also check out the Least Common Multiple of 2431 and 2448