What is the Greatest Common Factor of 66704 and 66708?

Greatest common factor (GCF) of 66704 and 66708 is 4.

GCF(66704,66708) = 4

We will now calculate the prime factors of 66704 and 66708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66704 and 66708.

How to find the GCF of 66704 and 66708?

We will first find the prime factorization of 66704 and 66708. After we will calculate the factors of 66704 and 66708 and find the biggest common factor number .

Step-1: Prime Factorization of 66704

Prime factors of 66704 are 2, 11, 379. Prime factorization of 66704 in exponential form is:

66704 = 2⁴ × 11¹ × 379¹

Step-2: Prime Factorization of 66708

Prime factors of 66708 are 2, 3, 17, 109. Prime factorization of 66708 in exponential form is:

66708 = 2² × 3² × 17¹ × 109¹

Step-3: Factors of 66704

List of positive integer factors of 66704 that divides 66704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 379, 758, 1516, 3032, 4169, 6064, 8338, 16676, 33352

Step-4: Factors of 66708

List of positive integer factors of 66708 that divides 66704 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 109, 153, 204, 218, 306, 327, 436, 612, 654, 981, 1308, 1853, 1962, 3706, 3924, 5559, 7412, 11118, 16677, 22236, 33354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66704 and 66708. The biggest common factor number is the GCF number.
So the greatest common factor 66704 and 66708 is 4.

Also check out the Least Common Multiple of 66704 and 66708