What is the Greatest Common Factor of 2448 and 2464?

Greatest common factor (GCF) of 2448 and 2464 is 16.

GCF(2448,2464) = 16

We will now calculate the prime factors of 2448 and 2464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2448 and 2464.

How to find the GCF of 2448 and 2464?

We will first find the prime factorization of 2448 and 2464. After we will calculate the factors of 2448 and 2464 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 2464

Prime factors of 2464 are 2, 7, 11. Prime factorization of 2464 in exponential form is:

2464 = 2⁵ × 7¹ × 11¹

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 2464

List of positive integer factors of 2464 that divides 2448 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2448 and 2464. The biggest common factor number is the GCF number.
So the greatest common factor 2448 and 2464 is 16.

Also check out the Least Common Multiple of 2448 and 2464