What is the Greatest Common Factor of 34795 and 34804?

Greatest common factor (GCF) of 34795 and 34804 is 1.

GCF(34795,34804) = 1

We will now calculate the prime factors of 34795 and 34804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34795 and 34804.

How to find the GCF of 34795 and 34804?

We will first find the prime factorization of 34795 and 34804. After we will calculate the factors of 34795 and 34804 and find the biggest common factor number .

Step-1: Prime Factorization of 34795

Prime factors of 34795 are 5, 6959. Prime factorization of 34795 in exponential form is:

34795 = 5¹ × 6959¹

Step-2: 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-3: Factors of 34795

List of positive integer factors of 34795 that divides 34795 without a remainder.

1, 5, 6959

Step-4: Factors of 34804

List of positive integer factors of 34804 that divides 34795 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34795 and 34804. The biggest common factor number is the GCF number.
So the greatest common factor 34795 and 34804 is 1.

Also check out the Least Common Multiple of 34795 and 34804