What is the Greatest Common Factor of 8448 and 8460?

Greatest common factor (GCF) of 8448 and 8460 is 12.

GCF(8448,8460) = 12

We will now calculate the prime factors of 8448 and 8460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8448 and 8460.

How to find the GCF of 8448 and 8460?

We will first find the prime factorization of 8448 and 8460. After we will calculate the factors of 8448 and 8460 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8460

Prime factors of 8460 are 2, 3, 5, 47. Prime factorization of 8460 in exponential form is:

8460 = 2² × 3² × 5¹ × 47¹

Step-3: Factors of 8448

List of positive integer factors of 8448 that divides 8448 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

Step-4: Factors of 8460

List of positive integer factors of 8460 that divides 8448 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8448 and 8460. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8460 is 12.

Also check out the Least Common Multiple of 8448 and 8460