What is the Greatest Common Factor of 8229 and 8235?

Greatest common factor (GCF) of 8229 and 8235 is 3.

GCF(8229,8235) = 3

We will now calculate the prime factors of 8229 and 8235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8229 and 8235.

How to find the GCF of 8229 and 8235?

We will first find the prime factorization of 8229 and 8235. After we will calculate the factors of 8229 and 8235 and find the biggest common factor number .

Step-1: Prime Factorization of 8229

Prime factors of 8229 are 3, 13, 211. Prime factorization of 8229 in exponential form is:

8229 = 3¹ × 13¹ × 211¹

Step-2: 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-3: Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1, 3, 13, 39, 211, 633, 2743

Step-4: Factors of 8235

List of positive integer factors of 8235 that divides 8229 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8229 and 8235. The biggest common factor number is the GCF number.
So the greatest common factor 8229 and 8235 is 3.

Also check out the Least Common Multiple of 8229 and 8235