What is the Greatest Common Factor of 8075 and 8091?

Greatest common factor (GCF) of 8075 and 8091 is 1.

GCF(8075,8091) = 1

We will now calculate the prime factors of 8075 and 8091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8075 and 8091.

How to find the GCF of 8075 and 8091?

We will first find the prime factorization of 8075 and 8091. After we will calculate the factors of 8075 and 8091 and find the biggest common factor number .

Step-1: Prime Factorization of 8075

Prime factors of 8075 are 5, 17, 19. Prime factorization of 8075 in exponential form is:

8075 = 5² × 17¹ × 19¹

Step-2: Prime Factorization of 8091

Prime factors of 8091 are 3, 29, 31. Prime factorization of 8091 in exponential form is:

8091 = 3² × 29¹ × 31¹

Step-3: Factors of 8075

List of positive integer factors of 8075 that divides 8075 without a remainder.

1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615

Step-4: Factors of 8091

List of positive integer factors of 8091 that divides 8075 without a remainder.

1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8075 and 8091. The biggest common factor number is the GCF number.
So the greatest common factor 8075 and 8091 is 1.

Also check out the Least Common Multiple of 8075 and 8091