What is the Greatest Common Factor of 66684 and 66704?

Greatest common factor (GCF) of 66684 and 66704 is 4.

GCF(66684,66704) = 4

We will now calculate the prime factors of 66684 and 66704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66684 and 66704.

How to find the GCF of 66684 and 66704?

We will first find the prime factorization of 66684 and 66704. After we will calculate the factors of 66684 and 66704 and find the biggest common factor number .

Step-1: Prime Factorization of 66684

Prime factors of 66684 are 2, 3, 5557. Prime factorization of 66684 in exponential form is:

66684 = 2² × 3¹ × 5557¹

Step-2: 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-3: Factors of 66684

List of positive integer factors of 66684 that divides 66684 without a remainder.

1, 2, 3, 4, 6, 12, 5557, 11114, 16671, 22228, 33342

Step-4: Factors of 66704

List of positive integer factors of 66704 that divides 66684 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66684 and 66704. The biggest common factor number is the GCF number.
So the greatest common factor 66684 and 66704 is 4.

Also check out the Least Common Multiple of 66684 and 66704