What is the Greatest Common Factor of 66688 and 66702?

Greatest common factor (GCF) of 66688 and 66702 is 2.

GCF(66688,66702) = 2

We will now calculate the prime factors of 66688 and 66702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66688 and 66702.

How to find the GCF of 66688 and 66702?

We will first find the prime factorization of 66688 and 66702. After we will calculate the factors of 66688 and 66702 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 66702

Prime factors of 66702 are 2, 3, 11117. Prime factorization of 66702 in exponential form is:

66702 = 2¹ × 3¹ × 11117¹

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 66702

List of positive integer factors of 66702 that divides 66688 without a remainder.

1, 2, 3, 6, 11117, 22234, 33351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66688 and 66702. The biggest common factor number is the GCF number.
So the greatest common factor 66688 and 66702 is 2.

Also check out the Least Common Multiple of 66688 and 66702