What is the Greatest Common Factor of 82109 and 82116?

Greatest common factor (GCF) of 82109 and 82116 is 1.

GCF(82109,82116) = 1

We will now calculate the prime factors of 82109 and 82116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82109 and 82116.

How to find the GCF of 82109 and 82116?

We will first find the prime factorization of 82109 and 82116. After we will calculate the factors of 82109 and 82116 and find the biggest common factor number .

Step-1: Prime Factorization of 82109

Prime factors of 82109 are 47, 1747. Prime factorization of 82109 in exponential form is:

82109 = 47¹ × 1747¹

Step-2: Prime Factorization of 82116

Prime factors of 82116 are 2, 3, 2281. Prime factorization of 82116 in exponential form is:

82116 = 2² × 3² × 2281¹

Step-3: Factors of 82109

List of positive integer factors of 82109 that divides 82109 without a remainder.

1, 47, 1747

Step-4: Factors of 82116

List of positive integer factors of 82116 that divides 82109 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2281, 4562, 6843, 9124, 13686, 20529, 27372, 41058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82109 and 82116. The biggest common factor number is the GCF number.
So the greatest common factor 82109 and 82116 is 1.

Also check out the Least Common Multiple of 82109 and 82116