What is the Greatest Common Factor of 66395 and 66409?

Greatest common factor (GCF) of 66395 and 66409 is 7.

GCF(66395,66409) = 7

We will now calculate the prime factors of 66395 and 66409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66395 and 66409.

How to find the GCF of 66395 and 66409?

We will first find the prime factorization of 66395 and 66409. After we will calculate the factors of 66395 and 66409 and find the biggest common factor number .

Step-1: Prime Factorization of 66395

Prime factors of 66395 are 5, 7, 271. Prime factorization of 66395 in exponential form is:

66395 = 5¹ × 7² × 271¹

Step-2: 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-3: Factors of 66395

List of positive integer factors of 66395 that divides 66395 without a remainder.

1, 5, 7, 35, 49, 245, 271, 1355, 1897, 9485, 13279

Step-4: Factors of 66409

List of positive integer factors of 66409 that divides 66395 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66395 and 66409. The biggest common factor number is the GCF number.
So the greatest common factor 66395 and 66409 is 7.

Also check out the Least Common Multiple of 66395 and 66409