What is the Greatest Common Factor of 34801 and 34809?

Greatest common factor (GCF) of 34801 and 34809 is 1.

GCF(34801,34809) = 1

We will now calculate the prime factors of 34801 and 34809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34801 and 34809.

How to find the GCF of 34801 and 34809?

We will first find the prime factorization of 34801 and 34809. After we will calculate the factors of 34801 and 34809 and find the biggest common factor number .

Step-1: Prime Factorization of 34801

Prime factors of 34801 are 13, 2677. Prime factorization of 34801 in exponential form is:

34801 = 13¹ × 2677¹

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 34801

List of positive integer factors of 34801 that divides 34801 without a remainder.

1, 13, 2677

Step-4: Factors of 34809

List of positive integer factors of 34809 that divides 34801 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34801 and 34809. The biggest common factor number is the GCF number.
So the greatest common factor 34801 and 34809 is 1.

Also check out the Least Common Multiple of 34801 and 34809