What is the Greatest Common Factor of 84109 and 84116?

Greatest common factor (GCF) of 84109 and 84116 is 1.

GCF(84109,84116) = 1

We will now calculate the prime factors of 84109 and 84116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84109 and 84116.

How to find the GCF of 84109 and 84116?

We will first find the prime factorization of 84109 and 84116. After we will calculate the factors of 84109 and 84116 and find the biggest common factor number .

Step-1: Prime Factorization of 84109

Prime factors of 84109 are 241, 349. Prime factorization of 84109 in exponential form is:

84109 = 241¹ × 349¹

Step-2: Prime Factorization of 84116

Prime factors of 84116 are 2, 17, 1237. Prime factorization of 84116 in exponential form is:

84116 = 2² × 17¹ × 1237¹

Step-3: Factors of 84109

List of positive integer factors of 84109 that divides 84109 without a remainder.

1, 241, 349

Step-4: Factors of 84116

List of positive integer factors of 84116 that divides 84109 without a remainder.

1, 2, 4, 17, 34, 68, 1237, 2474, 4948, 21029, 42058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84109 and 84116. The biggest common factor number is the GCF number.
So the greatest common factor 84109 and 84116 is 1.

Also check out the Least Common Multiple of 84109 and 84116