What is the Greatest Common Factor of 66066 and 66077?

Greatest common factor (GCF) of 66066 and 66077 is 11.

GCF(66066,66077) = 11

We will now calculate the prime factors of 66066 and 66077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66066 and 66077.

How to find the GCF of 66066 and 66077?

We will first find the prime factorization of 66066 and 66077. After we will calculate the factors of 66066 and 66077 and find the biggest common factor number .

Step-1: Prime Factorization of 66066

Prime factors of 66066 are 2, 3, 7, 11, 13. Prime factorization of 66066 in exponential form is:

66066 = 2¹ × 3¹ × 7¹ × 11² × 13¹

Step-2: Prime Factorization of 66077

Prime factors of 66077 are 11, 6007. Prime factorization of 66077 in exponential form is:

66077 = 11¹ × 6007¹

Step-3: Factors of 66066

List of positive integer factors of 66066 that divides 66066 without a remainder.

1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 121, 143, 154, 182, 231, 242, 273, 286, 363, 429, 462, 546, 726, 847, 858, 1001, 1573, 1694, 2002, 2541, 3003, 3146, 4719, 5082, 6006, 9438, 11011, 22022, 33033

Step-4: Factors of 66077

List of positive integer factors of 66077 that divides 66066 without a remainder.

1, 11, 6007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66066 and 66077. The biggest common factor number is the GCF number.
So the greatest common factor 66066 and 66077 is 11.

Also check out the Least Common Multiple of 66066 and 66077