What is the Greatest Common Factor of 66501 and 66521?

Greatest common factor (GCF) of 66501 and 66521 is 1.

GCF(66501,66521) = 1

We will now calculate the prime factors of 66501 and 66521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66501 and 66521.

How to find the GCF of 66501 and 66521?

We will first find the prime factorization of 66501 and 66521. After we will calculate the factors of 66501 and 66521 and find the biggest common factor number .

Step-1: Prime Factorization of 66501

Prime factors of 66501 are 3, 821. Prime factorization of 66501 in exponential form is:

66501 = 3⁴ × 821¹

Step-2: Prime Factorization of 66521

Prime factors of 66521 are 7, 13, 17, 43. Prime factorization of 66521 in exponential form is:

66521 = 7¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 66501

List of positive integer factors of 66501 that divides 66501 without a remainder.

1, 3, 9, 27, 81, 821, 2463, 7389, 22167

Step-4: Factors of 66521

List of positive integer factors of 66521 that divides 66501 without a remainder.

1, 7, 13, 17, 43, 91, 119, 221, 301, 559, 731, 1547, 3913, 5117, 9503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66501 and 66521. The biggest common factor number is the GCF number.
So the greatest common factor 66501 and 66521 is 1.

Also check out the Least Common Multiple of 66501 and 66521