What is the Greatest Common Factor of 66684 and 66688?

Greatest common factor (GCF) of 66684 and 66688 is 4.

GCF(66684,66688) = 4

We will now calculate the prime factors of 66684 and 66688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66684 and 66688.

How to find the GCF of 66684 and 66688?

We will first find the prime factorization of 66684 and 66688. After we will calculate the factors of 66684 and 66688 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 66688

Prime factors of 66688 are 2, 521. Prime factorization of 66688 in exponential form is:

66688 = 2⁷ × 521¹

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 66688

List of positive integer factors of 66688 that divides 66684 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 521, 1042, 2084, 4168, 8336, 16672, 33344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66684 and 66688. The biggest common factor number is the GCF number.
So the greatest common factor 66684 and 66688 is 4.

Also check out the Least Common Multiple of 66684 and 66688