What is the Greatest Common Factor of 34899 and 34917?

Greatest common factor (GCF) of 34899 and 34917 is 3.

GCF(34899,34917) = 3

We will now calculate the prime factors of 34899 and 34917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34899 and 34917.

How to find the GCF of 34899 and 34917?

We will first find the prime factorization of 34899 and 34917. After we will calculate the factors of 34899 and 34917 and find the biggest common factor number .

Step-1: Prime Factorization of 34899

Prime factors of 34899 are 3, 11633. Prime factorization of 34899 in exponential form is:

34899 = 3¹ × 11633¹

Step-2: Prime Factorization of 34917

Prime factors of 34917 are 3, 103, 113. Prime factorization of 34917 in exponential form is:

34917 = 3¹ × 103¹ × 113¹

Step-3: Factors of 34899

List of positive integer factors of 34899 that divides 34899 without a remainder.

1, 3, 11633

Step-4: Factors of 34917

List of positive integer factors of 34917 that divides 34899 without a remainder.

1, 3, 103, 113, 309, 339, 11639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34899 and 34917. The biggest common factor number is the GCF number.
So the greatest common factor 34899 and 34917 is 3.

Also check out the Least Common Multiple of 34899 and 34917