What is the Greatest Common Factor of 8454 and 8459?

Greatest common factor (GCF) of 8454 and 8459 is 1.

GCF(8454,8459) = 1

We will now calculate the prime factors of 8454 and 8459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8454 and 8459.

How to find the GCF of 8454 and 8459?

We will first find the prime factorization of 8454 and 8459. After we will calculate the factors of 8454 and 8459 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 8459

Prime factors of 8459 are 11, 769. Prime factorization of 8459 in exponential form is:

8459 = 11¹ × 769¹

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 8459

List of positive integer factors of 8459 that divides 8454 without a remainder.

1, 11, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8454 and 8459. The biggest common factor number is the GCF number.
So the greatest common factor 8454 and 8459 is 1.

Also check out the Least Common Multiple of 8454 and 8459