What is the Greatest Common Factor of 8463 and 8477?

Greatest common factor (GCF) of 8463 and 8477 is 7.

GCF(8463,8477) = 7

We will now calculate the prime factors of 8463 and 8477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8463 and 8477.

How to find the GCF of 8463 and 8477?

We will first find the prime factorization of 8463 and 8477. After we will calculate the factors of 8463 and 8477 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 8477

Prime factors of 8477 are 7, 173. Prime factorization of 8477 in exponential form is:

8477 = 7² × 173¹

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 8477

List of positive integer factors of 8477 that divides 8463 without a remainder.

1, 7, 49, 173, 1211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8463 and 8477. The biggest common factor number is the GCF number.
So the greatest common factor 8463 and 8477 is 7.

Also check out the Least Common Multiple of 8463 and 8477