What is the Greatest Common Factor of 65223 and 65229?

Greatest common factor (GCF) of 65223 and 65229 is 3.

GCF(65223,65229) = 3

We will now calculate the prime factors of 65223 and 65229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65223 and 65229.

How to find the GCF of 65223 and 65229?

We will first find the prime factorization of 65223 and 65229. After we will calculate the factors of 65223 and 65229 and find the biggest common factor number .

Step-1: Prime Factorization of 65223

Prime factors of 65223 are 3, 7247. Prime factorization of 65223 in exponential form is:

65223 = 3² × 7247¹

Step-2: Prime Factorization of 65229

Prime factors of 65229 are 3, 17, 1279. Prime factorization of 65229 in exponential form is:

65229 = 3¹ × 17¹ × 1279¹

Step-3: Factors of 65223

List of positive integer factors of 65223 that divides 65223 without a remainder.

1, 3, 9, 7247, 21741

Step-4: Factors of 65229

List of positive integer factors of 65229 that divides 65223 without a remainder.

1, 3, 17, 51, 1279, 3837, 21743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65223 and 65229. The biggest common factor number is the GCF number.
So the greatest common factor 65223 and 65229 is 3.

Also check out the Least Common Multiple of 65223 and 65229