What is the Greatest Common Factor of 80205 and 80223?

Greatest common factor (GCF) of 80205 and 80223 is 3.

GCF(80205,80223) = 3

We will now calculate the prime factors of 80205 and 80223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80205 and 80223.

How to find the GCF of 80205 and 80223?

We will first find the prime factorization of 80205 and 80223. After we will calculate the factors of 80205 and 80223 and find the biggest common factor number .

Step-1: Prime Factorization of 80205

Prime factors of 80205 are 3, 5, 5347. Prime factorization of 80205 in exponential form is:

80205 = 3¹ × 5¹ × 5347¹

Step-2: Prime Factorization of 80223

Prime factors of 80223 are 3, 11, 13, 17. Prime factorization of 80223 in exponential form is:

80223 = 3¹ × 11² × 13¹ × 17¹

Step-3: Factors of 80205

List of positive integer factors of 80205 that divides 80205 without a remainder.

1, 3, 5, 15, 5347, 16041, 26735

Step-4: Factors of 80223

List of positive integer factors of 80223 that divides 80205 without a remainder.

1, 3, 11, 13, 17, 33, 39, 51, 121, 143, 187, 221, 363, 429, 561, 663, 1573, 2057, 2431, 4719, 6171, 7293, 26741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80205 and 80223. The biggest common factor number is the GCF number.
So the greatest common factor 80205 and 80223 is 3.

Also check out the Least Common Multiple of 80205 and 80223