What is the Greatest Common Factor of 66004 and 66010?

Greatest common factor (GCF) of 66004 and 66010 is 2.

GCF(66004,66010) = 2

We will now calculate the prime factors of 66004 and 66010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66004 and 66010.

How to find the GCF of 66004 and 66010?

We will first find the prime factorization of 66004 and 66010. After we will calculate the factors of 66004 and 66010 and find the biggest common factor number .

Step-1: Prime Factorization of 66004

Prime factors of 66004 are 2, 29, 569. Prime factorization of 66004 in exponential form is:

66004 = 2² × 29¹ × 569¹

Step-2: Prime Factorization of 66010

Prime factors of 66010 are 2, 5, 7, 23, 41. Prime factorization of 66010 in exponential form is:

66010 = 2¹ × 5¹ × 7¹ × 23¹ × 41¹

Step-3: Factors of 66004

List of positive integer factors of 66004 that divides 66004 without a remainder.

1, 2, 4, 29, 58, 116, 569, 1138, 2276, 16501, 33002

Step-4: Factors of 66010

List of positive integer factors of 66010 that divides 66004 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 41, 46, 70, 82, 115, 161, 205, 230, 287, 322, 410, 574, 805, 943, 1435, 1610, 1886, 2870, 4715, 6601, 9430, 13202, 33005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66004 and 66010. The biggest common factor number is the GCF number.
So the greatest common factor 66004 and 66010 is 2.

Also check out the Least Common Multiple of 66004 and 66010