What is the Greatest Common Factor of 2417 and 2431?

Greatest common factor (GCF) of 2417 and 2431 is 1.

GCF(2417,2431) = 1

We will now calculate the prime factors of 2417 and 2431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2417 and 2431.

How to find the GCF of 2417 and 2431?

We will first find the prime factorization of 2417 and 2431. After we will calculate the factors of 2417 and 2431 and find the biggest common factor number .

Step-1: Prime Factorization of 2417

Prime factors of 2417 are 2417. Prime factorization of 2417 in exponential form is:

2417 = 2417¹

Step-2: 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-3: Factors of 2417

List of positive integer factors of 2417 that divides 2417 without a remainder.

Step-4: Factors of 2431

List of positive integer factors of 2431 that divides 2417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2417 and 2431. The biggest common factor number is the GCF number.
So the greatest common factor 2417 and 2431 is 1.

Also check out the Least Common Multiple of 2417 and 2431