What is the Greatest Common Factor of 2430 and 2450?

Greatest common factor (GCF) of 2430 and 2450 is 10.

GCF(2430,2450) = 10

We will now calculate the prime factors of 2430 and 2450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2430 and 2450.

How to find the GCF of 2430 and 2450?

We will first find the prime factorization of 2430 and 2450. After we will calculate the factors of 2430 and 2450 and find the biggest common factor number .

Step-1: Prime Factorization of 2430

Prime factors of 2430 are 2, 3, 5. Prime factorization of 2430 in exponential form is:

2430 = 2¹ × 3⁵ × 5¹

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 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215

Step-4: Factors of 2450

List of positive integer factors of 2450 that divides 2430 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 2430 and 2450. The biggest common factor number is the GCF number.
So the greatest common factor 2430 and 2450 is 10.

Also check out the Least Common Multiple of 2430 and 2450