What is the Greatest Common Factor of 34101 and 34116?

Greatest common factor (GCF) of 34101 and 34116 is 3.

GCF(34101,34116) = 3

We will now calculate the prime factors of 34101 and 34116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34101 and 34116.

How to find the GCF of 34101 and 34116?

We will first find the prime factorization of 34101 and 34116. After we will calculate the factors of 34101 and 34116 and find the biggest common factor number .

Step-1: Prime Factorization of 34101

Prime factors of 34101 are 3, 421. Prime factorization of 34101 in exponential form is:

34101 = 3⁴ × 421¹

Step-2: Prime Factorization of 34116

Prime factors of 34116 are 2, 3, 2843. Prime factorization of 34116 in exponential form is:

34116 = 2² × 3¹ × 2843¹

Step-3: Factors of 34101

List of positive integer factors of 34101 that divides 34101 without a remainder.

1, 3, 9, 27, 81, 421, 1263, 3789, 11367

Step-4: Factors of 34116

List of positive integer factors of 34116 that divides 34101 without a remainder.

1, 2, 3, 4, 6, 12, 2843, 5686, 8529, 11372, 17058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34101 and 34116. The biggest common factor number is the GCF number.
So the greatest common factor 34101 and 34116 is 3.

Also check out the Least Common Multiple of 34101 and 34116