What is the Greatest Common Factor of 2448 and 2465?

Greatest common factor (GCF) of 2448 and 2465 is 17.

GCF(2448,2465) = 17

We will now calculate the prime factors of 2448 and 2465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2448 and 2465.

How to find the GCF of 2448 and 2465?

We will first find the prime factorization of 2448 and 2465. After we will calculate the factors of 2448 and 2465 and find the biggest common factor number .

Step-1: Prime Factorization of 2448

Prime factors of 2448 are 2, 3, 17. Prime factorization of 2448 in exponential form is:

2448 = 2⁴ × 3² × 17¹

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 2448

List of positive integer factors of 2448 that divides 2448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224

Step-4: Factors of 2465

List of positive integer factors of 2465 that divides 2448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2448 and 2465. The biggest common factor number is the GCF number.
So the greatest common factor 2448 and 2465 is 17.

Also check out the Least Common Multiple of 2448 and 2465