What is the Greatest Common Factor of 66423 and 66429?

Greatest common factor (GCF) of 66423 and 66429 is 3.

GCF(66423,66429) = 3

We will now calculate the prime factors of 66423 and 66429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66423 and 66429.

How to find the GCF of 66423 and 66429?

We will first find the prime factorization of 66423 and 66429. After we will calculate the factors of 66423 and 66429 and find the biggest common factor number .

Step-1: Prime Factorization of 66423

Prime factors of 66423 are 3, 7, 3163. Prime factorization of 66423 in exponential form is:

66423 = 3¹ × 7¹ × 3163¹

Step-2: Prime Factorization of 66429

Prime factors of 66429 are 3, 11, 61. Prime factorization of 66429 in exponential form is:

66429 = 3² × 11² × 61¹

Step-3: Factors of 66423

List of positive integer factors of 66423 that divides 66423 without a remainder.

1, 3, 7, 21, 3163, 9489, 22141

Step-4: Factors of 66429

List of positive integer factors of 66429 that divides 66423 without a remainder.

1, 3, 9, 11, 33, 61, 99, 121, 183, 363, 549, 671, 1089, 2013, 6039, 7381, 22143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66423 and 66429. The biggest common factor number is the GCF number.
So the greatest common factor 66423 and 66429 is 3.

Also check out the Least Common Multiple of 66423 and 66429