What is the Greatest Common Factor of 82115 and 82126?

Greatest common factor (GCF) of 82115 and 82126 is 11.

GCF(82115,82126) = 11

We will now calculate the prime factors of 82115 and 82126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82115 and 82126.

How to find the GCF of 82115 and 82126?

We will first find the prime factorization of 82115 and 82126. After we will calculate the factors of 82115 and 82126 and find the biggest common factor number .

Step-1: Prime Factorization of 82115

Prime factors of 82115 are 5, 11, 1493. Prime factorization of 82115 in exponential form is:

82115 = 5¹ × 11¹ × 1493¹

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 82115

List of positive integer factors of 82115 that divides 82115 without a remainder.

1, 5, 11, 55, 1493, 7465, 16423

Step-4: Factors of 82126

List of positive integer factors of 82126 that divides 82115 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82115 and 82126. The biggest common factor number is the GCF number.
So the greatest common factor 82115 and 82126 is 11.

Also check out the Least Common Multiple of 82115 and 82126