What is the Greatest Common Factor of 66723 and 66735?

Greatest common factor (GCF) of 66723 and 66735 is 3.

GCF(66723,66735) = 3

We will now calculate the prime factors of 66723 and 66735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66723 and 66735.

How to find the GCF of 66723 and 66735?

We will first find the prime factorization of 66723 and 66735. After we will calculate the factors of 66723 and 66735 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 66735

Prime factors of 66735 are 3, 5, 1483. Prime factorization of 66735 in exponential form is:

66735 = 3² × 5¹ × 1483¹

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 66735

List of positive integer factors of 66735 that divides 66723 without a remainder.

1, 3, 5, 9, 15, 45, 1483, 4449, 7415, 13347, 22245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66723 and 66735. The biggest common factor number is the GCF number.
So the greatest common factor 66723 and 66735 is 3.

Also check out the Least Common Multiple of 66723 and 66735