What is the Greatest Common Factor of 2430 and 2449?

Greatest common factor (GCF) of 2430 and 2449 is 1.

GCF(2430,2449) = 1

We will now calculate the prime factors of 2430 and 2449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2430 and 2449.

How to find the GCF of 2430 and 2449?

We will first find the prime factorization of 2430 and 2449. After we will calculate the factors of 2430 and 2449 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 2449

Prime factors of 2449 are 31, 79. Prime factorization of 2449 in exponential form is:

2449 = 31¹ × 79¹

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 2449

List of positive integer factors of 2449 that divides 2430 without a remainder.

1, 31, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2430 and 2449. The biggest common factor number is the GCF number.
So the greatest common factor 2430 and 2449 is 1.

Also check out the Least Common Multiple of 2430 and 2449