What is the Greatest Common Factor of 34821 and 34841?

Greatest common factor (GCF) of 34821 and 34841 is 1.

GCF(34821,34841) = 1

We will now calculate the prime factors of 34821 and 34841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34821 and 34841.

How to find the GCF of 34821 and 34841?

We will first find the prime factorization of 34821 and 34841. After we will calculate the factors of 34821 and 34841 and find the biggest common factor number .

Step-1: Prime Factorization of 34821

Prime factors of 34821 are 3, 53, 73. Prime factorization of 34821 in exponential form is:

34821 = 3² × 53¹ × 73¹

Step-2: Prime Factorization of 34841

Prime factors of 34841 are 34841. Prime factorization of 34841 in exponential form is:

34841 = 34841¹

Step-3: Factors of 34821

List of positive integer factors of 34821 that divides 34821 without a remainder.

1, 3, 9, 53, 73, 159, 219, 477, 657, 3869, 11607

Step-4: Factors of 34841

List of positive integer factors of 34841 that divides 34821 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34821 and 34841. The biggest common factor number is the GCF number.
So the greatest common factor 34821 and 34841 is 1.

Also check out the Least Common Multiple of 34821 and 34841