What is the Greatest Common Factor of 2450 and 2462?

Greatest common factor (GCF) of 2450 and 2462 is 2.

GCF(2450,2462) = 2

We will now calculate the prime factors of 2450 and 2462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2450 and 2462.

How to find the GCF of 2450 and 2462?

We will first find the prime factorization of 2450 and 2462. After we will calculate the factors of 2450 and 2462 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2462

Prime factors of 2462 are 2, 1231. Prime factorization of 2462 in exponential form is:

2462 = 2¹ × 1231¹

Step-3: Factors of 2450

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

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

Step-4: Factors of 2462

List of positive integer factors of 2462 that divides 2450 without a remainder.

1, 2, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2450 and 2462. The biggest common factor number is the GCF number.
So the greatest common factor 2450 and 2462 is 2.

Also check out the Least Common Multiple of 2450 and 2462