What is the Greatest Common Factor of 4809 and 4817?

Greatest common factor (GCF) of 4809 and 4817 is 1.

GCF(4809,4817) = 1

We will now calculate the prime factors of 4809 and 4817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4809 and 4817.

How to find the GCF of 4809 and 4817?

We will first find the prime factorization of 4809 and 4817. After we will calculate the factors of 4809 and 4817 and find the biggest common factor number .

Step-1: Prime Factorization of 4809

Prime factors of 4809 are 3, 7, 229. Prime factorization of 4809 in exponential form is:

4809 = 3¹ × 7¹ × 229¹

Step-2: Prime Factorization of 4817

Prime factors of 4817 are 4817. Prime factorization of 4817 in exponential form is:

4817 = 4817¹

Step-3: Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1, 3, 7, 21, 229, 687, 1603

Step-4: Factors of 4817

List of positive integer factors of 4817 that divides 4809 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4809 and 4817. The biggest common factor number is the GCF number.
So the greatest common factor 4809 and 4817 is 1.

Also check out the Least Common Multiple of 4809 and 4817