What is the Greatest Common Factor of 66723 and 66727?

Greatest common factor (GCF) of 66723 and 66727 is 1.

GCF(66723,66727) = 1

We will now calculate the prime factors of 66723 and 66727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66723 and 66727.

How to find the GCF of 66723 and 66727?

We will first find the prime factorization of 66723 and 66727. After we will calculate the factors of 66723 and 66727 and find the biggest common factor number .

Step-1: Prime Factorization of 66723

Prime factors of 66723 are 3, 23, 967. Prime factorization of 66723 in exponential form is:

66723 = 3¹ × 23¹ × 967¹

Step-2: Prime Factorization of 66727

Prime factors of 66727 are 53, 1259. Prime factorization of 66727 in exponential form is:

66727 = 53¹ × 1259¹

Step-3: Factors of 66723

List of positive integer factors of 66723 that divides 66723 without a remainder.

1, 3, 23, 69, 967, 2901, 22241

Step-4: Factors of 66727

List of positive integer factors of 66727 that divides 66723 without a remainder.

1, 53, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66723 and 66727. The biggest common factor number is the GCF number.
So the greatest common factor 66723 and 66727 is 1.

Also check out the Least Common Multiple of 66723 and 66727