What is the Greatest Common Factor of 4109 and 4116?

Greatest common factor (GCF) of 4109 and 4116 is 7.

GCF(4109,4116) = 7

We will now calculate the prime factors of 4109 and 4116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4109 and 4116.

How to find the GCF of 4109 and 4116?

We will first find the prime factorization of 4109 and 4116. After we will calculate the factors of 4109 and 4116 and find the biggest common factor number .

Step-1: Prime Factorization of 4109

Prime factors of 4109 are 7, 587. Prime factorization of 4109 in exponential form is:

4109 = 7¹ × 587¹

Step-2: Prime Factorization of 4116

Prime factors of 4116 are 2, 3, 7. Prime factorization of 4116 in exponential form is:

4116 = 2² × 3¹ × 7³

Step-3: Factors of 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1, 7, 587

Step-4: Factors of 4116

List of positive integer factors of 4116 that divides 4109 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4109 and 4116. The biggest common factor number is the GCF number.
So the greatest common factor 4109 and 4116 is 7.

Also check out the Least Common Multiple of 4109 and 4116