What is the Greatest Common Factor of 8464 and 8483?

Greatest common factor (GCF) of 8464 and 8483 is 1.

GCF(8464,8483) = 1

We will now calculate the prime factors of 8464 and 8483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8464 and 8483.

How to find the GCF of 8464 and 8483?

We will first find the prime factorization of 8464 and 8483. After we will calculate the factors of 8464 and 8483 and find the biggest common factor number .

Step-1: Prime Factorization of 8464

Prime factors of 8464 are 2, 23. Prime factorization of 8464 in exponential form is:

8464 = 2⁴ × 23²

Step-2: Prime Factorization of 8483

Prime factors of 8483 are 17, 499. Prime factorization of 8483 in exponential form is:

8483 = 17¹ × 499¹

Step-3: Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232

Step-4: Factors of 8483

List of positive integer factors of 8483 that divides 8464 without a remainder.

1, 17, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8464 and 8483. The biggest common factor number is the GCF number.
So the greatest common factor 8464 and 8483 is 1.

Also check out the Least Common Multiple of 8464 and 8483