What is the Greatest Common Factor of 34804 and 34817?

Greatest common factor (GCF) of 34804 and 34817 is 1.

GCF(34804,34817) = 1

We will now calculate the prime factors of 34804 and 34817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34804 and 34817.

How to find the GCF of 34804 and 34817?

We will first find the prime factorization of 34804 and 34817. After we will calculate the factors of 34804 and 34817 and find the biggest common factor number .

Step-1: Prime Factorization of 34804

Prime factors of 34804 are 2, 7, 11, 113. Prime factorization of 34804 in exponential form is:

34804 = 2² × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 34817

Prime factors of 34817 are 37, 941. Prime factorization of 34817 in exponential form is:

34817 = 37¹ × 941¹

Step-3: Factors of 34804

List of positive integer factors of 34804 that divides 34804 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 113, 154, 226, 308, 452, 791, 1243, 1582, 2486, 3164, 4972, 8701, 17402

Step-4: Factors of 34817

List of positive integer factors of 34817 that divides 34804 without a remainder.

1, 37, 941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34804 and 34817. The biggest common factor number is the GCF number.
So the greatest common factor 34804 and 34817 is 1.

Also check out the Least Common Multiple of 34804 and 34817