What is the Greatest Common Factor of 66688 and 66698?

Greatest common factor (GCF) of 66688 and 66698 is 2.

GCF(66688,66698) = 2

We will now calculate the prime factors of 66688 and 66698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66688 and 66698.

How to find the GCF of 66688 and 66698?

We will first find the prime factorization of 66688 and 66698. After we will calculate the factors of 66688 and 66698 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 66698

Prime factors of 66698 are 2, 33349. Prime factorization of 66698 in exponential form is:

66698 = 2¹ × 33349¹

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 66698

List of positive integer factors of 66698 that divides 66688 without a remainder.

1, 2, 33349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66688 and 66698. The biggest common factor number is the GCF number.
So the greatest common factor 66688 and 66698 is 2.

Also check out the Least Common Multiple of 66688 and 66698