What is the Greatest Common Factor of 82109 and 82126?

Greatest common factor (GCF) of 82109 and 82126 is 1.

GCF(82109,82126) = 1

We will now calculate the prime factors of 82109 and 82126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82109 and 82126.

How to find the GCF of 82109 and 82126?

We will first find the prime factorization of 82109 and 82126. After we will calculate the factors of 82109 and 82126 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 82126

Prime factors of 82126 are 2, 11, 3733. Prime factorization of 82126 in exponential form is:

82126 = 2¹ × 11¹ × 3733¹

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 82126

List of positive integer factors of 82126 that divides 82109 without a remainder.

1, 2, 11, 22, 3733, 7466, 41063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82109 and 82126. The biggest common factor number is the GCF number.
So the greatest common factor 82109 and 82126 is 1.

Also check out the Least Common Multiple of 82109 and 82126