What is the Greatest Common Factor of 8454 and 8463?

Greatest common factor (GCF) of 8454 and 8463 is 3.

GCF(8454,8463) = 3

We will now calculate the prime factors of 8454 and 8463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8454 and 8463.

How to find the GCF of 8454 and 8463?

We will first find the prime factorization of 8454 and 8463. After we will calculate the factors of 8454 and 8463 and find the biggest common factor number .

Step-1: Prime Factorization of 8454

Prime factors of 8454 are 2, 3, 1409. Prime factorization of 8454 in exponential form is:

8454 = 2¹ × 3¹ × 1409¹

Step-2: 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-3: Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1, 2, 3, 6, 1409, 2818, 4227

Step-4: Factors of 8463

List of positive integer factors of 8463 that divides 8454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8454 and 8463. The biggest common factor number is the GCF number.
So the greatest common factor 8454 and 8463 is 3.

Also check out the Least Common Multiple of 8454 and 8463