What is the Greatest Common Factor of 8463 and 8478?

Greatest common factor (GCF) of 8463 and 8478 is 3.

GCF(8463,8478) = 3

We will now calculate the prime factors of 8463 and 8478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8463 and 8478.

How to find the GCF of 8463 and 8478?

We will first find the prime factorization of 8463 and 8478. After we will calculate the factors of 8463 and 8478 and find the biggest common factor number .

Step-1: Prime Factorization of 8463

Prime factors of 8463 are 3, 7, 13, 31. Prime factorization of 8463 in exponential form is:

8463 = 3¹ × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 8478

Prime factors of 8478 are 2, 3, 157. Prime factorization of 8478 in exponential form is:

8478 = 2¹ × 3³ × 157¹

Step-3: Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821

Step-4: Factors of 8478

List of positive integer factors of 8478 that divides 8463 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8463 and 8478. The biggest common factor number is the GCF number.
So the greatest common factor 8463 and 8478 is 3.

Also check out the Least Common Multiple of 8463 and 8478