What is the Greatest Common Factor of 66493 and 66497?

Greatest common factor (GCF) of 66493 and 66497 is 1.

GCF(66493,66497) = 1

We will now calculate the prime factors of 66493 and 66497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66493 and 66497.

How to find the GCF of 66493 and 66497?

We will first find the prime factorization of 66493 and 66497. After we will calculate the factors of 66493 and 66497 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 66497

Prime factors of 66497 are 29, 2293. Prime factorization of 66497 in exponential form is:

66497 = 29¹ × 2293¹

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 66497

List of positive integer factors of 66497 that divides 66493 without a remainder.

1, 29, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66493 and 66497. The biggest common factor number is the GCF number.
So the greatest common factor 66493 and 66497 is 1.

Also check out the Least Common Multiple of 66493 and 66497