What is the Greatest Common Factor of 80229 and 80241?

Greatest common factor (GCF) of 80229 and 80241 is 3.

GCF(80229,80241) = 3

We will now calculate the prime factors of 80229 and 80241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80229 and 80241.

How to find the GCF of 80229 and 80241?

We will first find the prime factorization of 80229 and 80241. After we will calculate the factors of 80229 and 80241 and find the biggest common factor number .

Step-1: Prime Factorization of 80229

Prime factors of 80229 are 3, 47, 569. Prime factorization of 80229 in exponential form is:

80229 = 3¹ × 47¹ × 569¹

Step-2: Prime Factorization of 80241

Prime factors of 80241 are 3, 7, 3821. Prime factorization of 80241 in exponential form is:

80241 = 3¹ × 7¹ × 3821¹

Step-3: Factors of 80229

List of positive integer factors of 80229 that divides 80229 without a remainder.

1, 3, 47, 141, 569, 1707, 26743

Step-4: Factors of 80241

List of positive integer factors of 80241 that divides 80229 without a remainder.

1, 3, 7, 21, 3821, 11463, 26747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80229 and 80241. The biggest common factor number is the GCF number.
So the greatest common factor 80229 and 80241 is 3.

Also check out the Least Common Multiple of 80229 and 80241