What is the Greatest Common Factor of 2434 and 2450?

Greatest common factor (GCF) of 2434 and 2450 is 2.

GCF(2434,2450) = 2

We will now calculate the prime factors of 2434 and 2450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2434 and 2450.

How to find the GCF of 2434 and 2450?

We will first find the prime factorization of 2434 and 2450. After we will calculate the factors of 2434 and 2450 and find the biggest common factor number .

Step-1: Prime Factorization of 2434

Prime factors of 2434 are 2, 1217. Prime factorization of 2434 in exponential form is:

2434 = 2¹ × 1217¹

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 2434

List of positive integer factors of 2434 that divides 2434 without a remainder.

1, 2, 1217

Step-4: Factors of 2450

List of positive integer factors of 2450 that divides 2434 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 2434 and 2450. The biggest common factor number is the GCF number.
So the greatest common factor 2434 and 2450 is 2.

Also check out the Least Common Multiple of 2434 and 2450