What is the Greatest Common Factor of 2431 and 2450?

Greatest common factor (GCF) of 2431 and 2450 is 1.

GCF(2431,2450) = 1

We will now calculate the prime factors of 2431 and 2450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2431 and 2450.

How to find the GCF of 2431 and 2450?

We will first find the prime factorization of 2431 and 2450. After we will calculate the factors of 2431 and 2450 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 2450

Prime factors of 2450 are 2, 5, 7. Prime factorization of 2450 in exponential form is:

2450 = 2¹ × 5² × 7²

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 2450

List of positive integer factors of 2450 that divides 2431 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2431 and 2450. The biggest common factor number is the GCF number.
So the greatest common factor 2431 and 2450 is 1.

Also check out the Least Common Multiple of 2431 and 2450