What is the Greatest Common Factor of 2459 and 2465?

Greatest common factor (GCF) of 2459 and 2465 is 1.

GCF(2459,2465) = 1

We will now calculate the prime factors of 2459 and 2465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2459 and 2465.

How to find the GCF of 2459 and 2465?

We will first find the prime factorization of 2459 and 2465. After we will calculate the factors of 2459 and 2465 and find the biggest common factor number .

Step-1: Prime Factorization of 2459

Prime factors of 2459 are 2459. Prime factorization of 2459 in exponential form is:

2459 = 2459¹

Step-2: Prime Factorization of 2465

Prime factors of 2465 are 5, 17, 29. Prime factorization of 2465 in exponential form is:

2465 = 5¹ × 17¹ × 29¹

Step-3: Factors of 2459

List of positive integer factors of 2459 that divides 2459 without a remainder.

Step-4: Factors of 2465

List of positive integer factors of 2465 that divides 2459 without a remainder.

1, 5, 17, 29, 85, 145, 493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2459 and 2465. The biggest common factor number is the GCF number.
So the greatest common factor 2459 and 2465 is 1.

Also check out the Least Common Multiple of 2459 and 2465