What is the Greatest Common Factor of 2414 and 2431?

Greatest common factor (GCF) of 2414 and 2431 is 17.

GCF(2414,2431) = 17

We will now calculate the prime factors of 2414 and 2431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2414 and 2431.

How to find the GCF of 2414 and 2431?

We will first find the prime factorization of 2414 and 2431. After we will calculate the factors of 2414 and 2431 and find the biggest common factor number .

Step-1: Prime Factorization of 2414

Prime factors of 2414 are 2, 17, 71. Prime factorization of 2414 in exponential form is:

2414 = 2¹ × 17¹ × 71¹

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 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1, 2, 17, 34, 71, 142, 1207

Step-4: Factors of 2431

List of positive integer factors of 2431 that divides 2414 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2414 and 2431. The biggest common factor number is the GCF number.
So the greatest common factor 2414 and 2431 is 17.

Also check out the Least Common Multiple of 2414 and 2431