What is the Greatest Common Factor of 82075 and 82091?

Greatest common factor (GCF) of 82075 and 82091 is 1.

GCF(82075,82091) = 1

We will now calculate the prime factors of 82075 and 82091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82075 and 82091.

How to find the GCF of 82075 and 82091?

We will first find the prime factorization of 82075 and 82091. After we will calculate the factors of 82075 and 82091 and find the biggest common factor number .

Step-1: Prime Factorization of 82075

Prime factors of 82075 are 5, 7, 67. Prime factorization of 82075 in exponential form is:

82075 = 5² × 7² × 67¹

Step-2: Prime Factorization of 82091

Prime factors of 82091 are 103, 797. Prime factorization of 82091 in exponential form is:

82091 = 103¹ × 797¹

Step-3: Factors of 82075

List of positive integer factors of 82075 that divides 82075 without a remainder.

1, 5, 7, 25, 35, 49, 67, 175, 245, 335, 469, 1225, 1675, 2345, 3283, 11725, 16415

Step-4: Factors of 82091

List of positive integer factors of 82091 that divides 82075 without a remainder.

1, 103, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82075 and 82091. The biggest common factor number is the GCF number.
So the greatest common factor 82075 and 82091 is 1.

Also check out the Least Common Multiple of 82075 and 82091