What is the Greatest Common Factor of 8041 and 8059?

Greatest common factor (GCF) of 8041 and 8059 is 1.

GCF(8041,8059) = 1

We will now calculate the prime factors of 8041 and 8059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8041 and 8059.

How to find the GCF of 8041 and 8059?

We will first find the prime factorization of 8041 and 8059. After we will calculate the factors of 8041 and 8059 and find the biggest common factor number .

Step-1: Prime Factorization of 8041

Prime factors of 8041 are 11, 17, 43. Prime factorization of 8041 in exponential form is:

8041 = 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 8059

Prime factors of 8059 are 8059. Prime factorization of 8059 in exponential form is:

8059 = 8059¹

Step-3: Factors of 8041

List of positive integer factors of 8041 that divides 8041 without a remainder.

1, 11, 17, 43, 187, 473, 731

Step-4: Factors of 8059

List of positive integer factors of 8059 that divides 8041 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8041 and 8059. The biggest common factor number is the GCF number.
So the greatest common factor 8041 and 8059 is 1.

Also check out the Least Common Multiple of 8041 and 8059