What is the Greatest Common Factor of 66059 and 66066?

Greatest common factor (GCF) of 66059 and 66066 is 7.

GCF(66059,66066) = 7

We will now calculate the prime factors of 66059 and 66066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66059 and 66066.

How to find the GCF of 66059 and 66066?

We will first find the prime factorization of 66059 and 66066. After we will calculate the factors of 66059 and 66066 and find the biggest common factor number .

Step-1: Prime Factorization of 66059

Prime factors of 66059 are 7, 9437. Prime factorization of 66059 in exponential form is:

66059 = 7¹ × 9437¹

Step-2: 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-3: Factors of 66059

List of positive integer factors of 66059 that divides 66059 without a remainder.

1, 7, 9437

Step-4: Factors of 66066

List of positive integer factors of 66066 that divides 66059 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66059 and 66066. The biggest common factor number is the GCF number.
So the greatest common factor 66059 and 66066 is 7.

Also check out the Least Common Multiple of 66059 and 66066