What is the Greatest Common Factor of 34805 and 34809?

Greatest common factor (GCF) of 34805 and 34809 is 1.

GCF(34805,34809) = 1

We will now calculate the prime factors of 34805 and 34809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34805 and 34809.

How to find the GCF of 34805 and 34809?

We will first find the prime factorization of 34805 and 34809. After we will calculate the factors of 34805 and 34809 and find the biggest common factor number .

Step-1: Prime Factorization of 34805

Prime factors of 34805 are 5, 6961. Prime factorization of 34805 in exponential form is:

34805 = 5¹ × 6961¹

Step-2: Prime Factorization of 34809

Prime factors of 34809 are 3, 41, 283. Prime factorization of 34809 in exponential form is:

34809 = 3¹ × 41¹ × 283¹

Step-3: Factors of 34805

List of positive integer factors of 34805 that divides 34805 without a remainder.

1, 5, 6961

Step-4: Factors of 34809

List of positive integer factors of 34809 that divides 34805 without a remainder.

1, 3, 41, 123, 283, 849, 11603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34805 and 34809. The biggest common factor number is the GCF number.
So the greatest common factor 34805 and 34809 is 1.

Also check out the Least Common Multiple of 34805 and 34809