What is the Greatest Common Factor of 2430 and 2446?

Greatest common factor (GCF) of 2430 and 2446 is 2.

GCF(2430,2446) = 2

We will now calculate the prime factors of 2430 and 2446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2430 and 2446.

How to find the GCF of 2430 and 2446?

We will first find the prime factorization of 2430 and 2446. After we will calculate the factors of 2430 and 2446 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 2446

Prime factors of 2446 are 2, 1223. Prime factorization of 2446 in exponential form is:

2446 = 2¹ × 1223¹

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 2446

List of positive integer factors of 2446 that divides 2430 without a remainder.

1, 2, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2430 and 2446. The biggest common factor number is the GCF number.
So the greatest common factor 2430 and 2446 is 2.

Also check out the Least Common Multiple of 2430 and 2446