What is the Greatest Common Factor of 8428 and 8448?

Greatest common factor (GCF) of 8428 and 8448 is 4.

GCF(8428,8448) = 4

We will now calculate the prime factors of 8428 and 8448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8428 and 8448.

How to find the GCF of 8428 and 8448?

We will first find the prime factorization of 8428 and 8448. After we will calculate the factors of 8428 and 8448 and find the biggest common factor number .

Step-1: Prime Factorization of 8428

Prime factors of 8428 are 2, 7, 43. Prime factorization of 8428 in exponential form is:

8428 = 2² × 7² × 43¹

Step-2: Prime Factorization of 8448

Prime factors of 8448 are 2, 3, 11. Prime factorization of 8448 in exponential form is:

8448 = 2⁸ × 3¹ × 11¹

Step-3: Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214

Step-4: Factors of 8448

List of positive integer factors of 8448 that divides 8428 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8428 and 8448. The biggest common factor number is the GCF number.
So the greatest common factor 8428 and 8448 is 4.

Also check out the Least Common Multiple of 8428 and 8448