What is the Greatest Common Factor of 8235 and 8241?

Greatest common factor (GCF) of 8235 and 8241 is 3.

GCF(8235,8241) = 3

We will now calculate the prime factors of 8235 and 8241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8235 and 8241.

How to find the GCF of 8235 and 8241?

We will first find the prime factorization of 8235 and 8241. After we will calculate the factors of 8235 and 8241 and find the biggest common factor number .

Step-1: Prime Factorization of 8235

Prime factors of 8235 are 3, 5, 61. Prime factorization of 8235 in exponential form is:

8235 = 3³ × 5¹ × 61¹

Step-2: Prime Factorization of 8241

Prime factors of 8241 are 3, 41, 67. Prime factorization of 8241 in exponential form is:

8241 = 3¹ × 41¹ × 67¹

Step-3: Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745

Step-4: Factors of 8241

List of positive integer factors of 8241 that divides 8235 without a remainder.

1, 3, 41, 67, 123, 201, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8235 and 8241. The biggest common factor number is the GCF number.
So the greatest common factor 8235 and 8241 is 3.

Also check out the Least Common Multiple of 8235 and 8241