What is the Greatest Common Factor of 66688 and 66704?

Greatest common factor (GCF) of 66688 and 66704 is 16.

GCF(66688,66704) = 16

We will now calculate the prime factors of 66688 and 66704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66688 and 66704.

How to find the GCF of 66688 and 66704?

We will first find the prime factorization of 66688 and 66704. After we will calculate the factors of 66688 and 66704 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 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 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 66704

List of positive integer factors of 66704 that divides 66688 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 66688 and 66704. The biggest common factor number is the GCF number.
So the greatest common factor 66688 and 66704 is 16.

Also check out the Least Common Multiple of 66688 and 66704