What is the Greatest Common Factor of 66229 and 66243?

Greatest common factor (GCF) of 66229 and 66243 is 1.

GCF(66229,66243) = 1

We will now calculate the prime factors of 66229 and 66243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66229 and 66243.

How to find the GCF of 66229 and 66243?

We will first find the prime factorization of 66229 and 66243. After we will calculate the factors of 66229 and 66243 and find the biggest common factor number .

Step-1: Prime Factorization of 66229

Prime factors of 66229 are 103, 643. Prime factorization of 66229 in exponential form is:

66229 = 103¹ × 643¹

Step-2: Prime Factorization of 66243

Prime factors of 66243 are 3, 71, 311. Prime factorization of 66243 in exponential form is:

66243 = 3¹ × 71¹ × 311¹

Step-3: Factors of 66229

List of positive integer factors of 66229 that divides 66229 without a remainder.

1, 103, 643

Step-4: Factors of 66243

List of positive integer factors of 66243 that divides 66229 without a remainder.

1, 3, 71, 213, 311, 933, 22081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66229 and 66243. The biggest common factor number is the GCF number.
So the greatest common factor 66229 and 66243 is 1.

Also check out the Least Common Multiple of 66229 and 66243