What is the Greatest Common Factor of 66688 and 66700?

Greatest common factor (GCF) of 66688 and 66700 is 4.

GCF(66688,66700) = 4

We will now calculate the prime factors of 66688 and 66700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66688 and 66700.

How to find the GCF of 66688 and 66700?

We will first find the prime factorization of 66688 and 66700. After we will calculate the factors of 66688 and 66700 and find the biggest common factor number .

Step-1: Prime Factorization of 66688

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

66688 = 2⁷ × 521¹

Step-2: Prime Factorization of 66700

Prime factors of 66700 are 2, 5, 23, 29. Prime factorization of 66700 in exponential form is:

66700 = 2² × 5² × 23¹ × 29¹

Step-3: Factors of 66688

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

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

Step-4: Factors of 66700

List of positive integer factors of 66700 that divides 66688 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 29, 46, 50, 58, 92, 100, 115, 116, 145, 230, 290, 460, 575, 580, 667, 725, 1150, 1334, 1450, 2300, 2668, 2900, 3335, 6670, 13340, 16675, 33350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66688 and 66700. The biggest common factor number is the GCF number.
So the greatest common factor 66688 and 66700 is 4.

Also check out the Least Common Multiple of 66688 and 66700