What is the Greatest Common Factor of 66714 and 66729?

Greatest common factor (GCF) of 66714 and 66729 is 3.

GCF(66714,66729) = 3

We will now calculate the prime factors of 66714 and 66729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66714 and 66729.

How to find the GCF of 66714 and 66729?

We will first find the prime factorization of 66714 and 66729. After we will calculate the factors of 66714 and 66729 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 66729

Prime factors of 66729 are 3, 13, 29, 59. Prime factorization of 66729 in exponential form is:

66729 = 3¹ × 13¹ × 29¹ × 59¹

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 66729

List of positive integer factors of 66729 that divides 66714 without a remainder.

1, 3, 13, 29, 39, 59, 87, 177, 377, 767, 1131, 1711, 2301, 5133, 22243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66714 and 66729. The biggest common factor number is the GCF number.
So the greatest common factor 66714 and 66729 is 3.

Also check out the Least Common Multiple of 66714 and 66729