What is the Greatest Common Factor of 2428 and 2448?

Greatest common factor (GCF) of 2428 and 2448 is 4.

GCF(2428,2448) = 4

We will now calculate the prime factors of 2428 and 2448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2428 and 2448.

How to find the GCF of 2428 and 2448?

We will first find the prime factorization of 2428 and 2448. After we will calculate the factors of 2428 and 2448 and find the biggest common factor number .

Step-1: Prime Factorization of 2428

Prime factors of 2428 are 2, 607. Prime factorization of 2428 in exponential form is:

2428 = 2² × 607¹

Step-2: 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-3: Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1, 2, 4, 607, 1214

Step-4: Factors of 2448

List of positive integer factors of 2448 that divides 2428 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2428 and 2448. The biggest common factor number is the GCF number.
So the greatest common factor 2428 and 2448 is 4.

Also check out the Least Common Multiple of 2428 and 2448