What is the Greatest Common Factor of 66714 and 66723?

Greatest common factor (GCF) of 66714 and 66723 is 3.

GCF(66714,66723) = 3

We will now calculate the prime factors of 66714 and 66723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66714 and 66723.

How to find the GCF of 66714 and 66723?

We will first find the prime factorization of 66714 and 66723. After we will calculate the factors of 66714 and 66723 and find the biggest common factor number .

Step-1: Prime Factorization of 66714

Prime factors of 66714 are 2, 3, 11119. Prime factorization of 66714 in exponential form is:

66714 = 2¹ × 3¹ × 11119¹

Step-2: 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-3: Factors of 66714

List of positive integer factors of 66714 that divides 66714 without a remainder.

1, 2, 3, 6, 11119, 22238, 33357

Step-4: Factors of 66723

List of positive integer factors of 66723 that divides 66714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66714 and 66723. The biggest common factor number is the GCF number.
So the greatest common factor 66714 and 66723 is 3.

Also check out the Least Common Multiple of 66714 and 66723