What is the Greatest Common Factor of 66409 and 66423?

Greatest common factor (GCF) of 66409 and 66423 is 7.

GCF(66409,66423) = 7

We will now calculate the prime factors of 66409 and 66423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66409 and 66423.

How to find the GCF of 66409 and 66423?

We will first find the prime factorization of 66409 and 66423. After we will calculate the factors of 66409 and 66423 and find the biggest common factor number .

Step-1: Prime Factorization of 66409

Prime factors of 66409 are 7, 53, 179. Prime factorization of 66409 in exponential form is:

66409 = 7¹ × 53¹ × 179¹

Step-2: 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-3: Factors of 66409

List of positive integer factors of 66409 that divides 66409 without a remainder.

1, 7, 53, 179, 371, 1253, 9487

Step-4: Factors of 66423

List of positive integer factors of 66423 that divides 66409 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66409 and 66423. The biggest common factor number is the GCF number.
So the greatest common factor 66409 and 66423 is 7.

Also check out the Least Common Multiple of 66409 and 66423