What is the Greatest Common Factor of 66053 and 66066?

Greatest common factor (GCF) of 66053 and 66066 is 13.

GCF(66053,66066) = 13

We will now calculate the prime factors of 66053 and 66066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66053 and 66066.

How to find the GCF of 66053 and 66066?

We will first find the prime factorization of 66053 and 66066. After we will calculate the factors of 66053 and 66066 and find the biggest common factor number .

Step-1: Prime Factorization of 66053

Prime factors of 66053 are 13, 5081. Prime factorization of 66053 in exponential form is:

66053 = 13¹ × 5081¹

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 66053

List of positive integer factors of 66053 that divides 66053 without a remainder.

1, 13, 5081

Step-4: Factors of 66066

List of positive integer factors of 66066 that divides 66053 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 66053 and 66066. The biggest common factor number is the GCF number.
So the greatest common factor 66053 and 66066 is 13.

Also check out the Least Common Multiple of 66053 and 66066