What is the Greatest Common Factor of 8024 and 8041?

Greatest common factor (GCF) of 8024 and 8041 is 17.

GCF(8024,8041) = 17

We will now calculate the prime factors of 8024 and 8041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8024 and 8041.

How to find the GCF of 8024 and 8041?

We will first find the prime factorization of 8024 and 8041. After we will calculate the factors of 8024 and 8041 and find the biggest common factor number .

Step-1: Prime Factorization of 8024

Prime factors of 8024 are 2, 17, 59. Prime factorization of 8024 in exponential form is:

8024 = 2³ × 17¹ × 59¹

Step-2: 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-3: Factors of 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012

Step-4: Factors of 8041

List of positive integer factors of 8041 that divides 8024 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8024 and 8041. The biggest common factor number is the GCF number.
So the greatest common factor 8024 and 8041 is 17.

Also check out the Least Common Multiple of 8024 and 8041