What is the Greatest Common Factor of 66493 and 66498?

Greatest common factor (GCF) of 66493 and 66498 is 1.

GCF(66493,66498) = 1

We will now calculate the prime factors of 66493 and 66498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66493 and 66498.

How to find the GCF of 66493 and 66498?

We will first find the prime factorization of 66493 and 66498. After we will calculate the factors of 66493 and 66498 and find the biggest common factor number .

Step-1: Prime Factorization of 66493

Prime factors of 66493 are 7, 23, 59. Prime factorization of 66493 in exponential form is:

66493 = 7² × 23¹ × 59¹

Step-2: Prime Factorization of 66498

Prime factors of 66498 are 2, 3, 11083. Prime factorization of 66498 in exponential form is:

66498 = 2¹ × 3¹ × 11083¹

Step-3: Factors of 66493

List of positive integer factors of 66493 that divides 66493 without a remainder.

1, 7, 23, 49, 59, 161, 413, 1127, 1357, 2891, 9499

Step-4: Factors of 66498

List of positive integer factors of 66498 that divides 66493 without a remainder.

1, 2, 3, 6, 11083, 22166, 33249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66493 and 66498. The biggest common factor number is the GCF number.
So the greatest common factor 66493 and 66498 is 1.

Also check out the Least Common Multiple of 66493 and 66498