What is the Greatest Common Factor of 66052 and 66066?

Greatest common factor (GCF) of 66052 and 66066 is 14.

GCF(66052,66066) = 14

We will now calculate the prime factors of 66052 and 66066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66052 and 66066.

How to find the GCF of 66052 and 66066?

We will first find the prime factorization of 66052 and 66066. After we will calculate the factors of 66052 and 66066 and find the biggest common factor number .

Step-1: Prime Factorization of 66052

Prime factors of 66052 are 2, 7, 337. Prime factorization of 66052 in exponential form is:

66052 = 2² × 7² × 337¹

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 66052

List of positive integer factors of 66052 that divides 66052 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 337, 674, 1348, 2359, 4718, 9436, 16513, 33026

Step-4: Factors of 66066

List of positive integer factors of 66066 that divides 66052 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 66052 and 66066. The biggest common factor number is the GCF number.
So the greatest common factor 66052 and 66066 is 14.

Also check out the Least Common Multiple of 66052 and 66066