What is the Greatest Common Factor of 34833 and 34849?

Greatest common factor (GCF) of 34833 and 34849 is 1.

GCF(34833,34849) = 1

We will now calculate the prime factors of 34833 and 34849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34833 and 34849.

How to find the GCF of 34833 and 34849?

We will first find the prime factorization of 34833 and 34849. After we will calculate the factors of 34833 and 34849 and find the biggest common factor number .

Step-1: Prime Factorization of 34833

Prime factors of 34833 are 3, 17, 683. Prime factorization of 34833 in exponential form is:

34833 = 3¹ × 17¹ × 683¹

Step-2: Prime Factorization of 34849

Prime factors of 34849 are 34849. Prime factorization of 34849 in exponential form is:

34849 = 34849¹

Step-3: Factors of 34833

List of positive integer factors of 34833 that divides 34833 without a remainder.

1, 3, 17, 51, 683, 2049, 11611

Step-4: Factors of 34849

List of positive integer factors of 34849 that divides 34833 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34833 and 34849. The biggest common factor number is the GCF number.
So the greatest common factor 34833 and 34849 is 1.

Also check out the Least Common Multiple of 34833 and 34849