What is the Greatest Common Factor of 66066 and 66073?

Greatest common factor (GCF) of 66066 and 66073 is 7.

GCF(66066,66073) = 7

We will now calculate the prime factors of 66066 and 66073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66066 and 66073.

How to find the GCF of 66066 and 66073?

We will first find the prime factorization of 66066 and 66073. After we will calculate the factors of 66066 and 66073 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 66073

Prime factors of 66073 are 7, 9439. Prime factorization of 66073 in exponential form is:

66073 = 7¹ × 9439¹

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 66073

List of positive integer factors of 66073 that divides 66066 without a remainder.

1, 7, 9439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66066 and 66073. The biggest common factor number is the GCF number.
So the greatest common factor 66066 and 66073 is 7.

Also check out the Least Common Multiple of 66066 and 66073