What is the Greatest Common Factor of 66642 and 66656?

Greatest common factor (GCF) of 66642 and 66656 is 2.

GCF(66642,66656) = 2

We will now calculate the prime factors of 66642 and 66656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66642 and 66656.

How to find the GCF of 66642 and 66656?

We will first find the prime factorization of 66642 and 66656. After we will calculate the factors of 66642 and 66656 and find the biggest common factor number .

Step-1: Prime Factorization of 66642

Prime factors of 66642 are 2, 3, 29, 383. Prime factorization of 66642 in exponential form is:

66642 = 2¹ × 3¹ × 29¹ × 383¹

Step-2: Prime Factorization of 66656

Prime factors of 66656 are 2, 2083. Prime factorization of 66656 in exponential form is:

66656 = 2⁵ × 2083¹

Step-3: Factors of 66642

List of positive integer factors of 66642 that divides 66642 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 383, 766, 1149, 2298, 11107, 22214, 33321

Step-4: Factors of 66656

List of positive integer factors of 66656 that divides 66642 without a remainder.

1, 2, 4, 8, 16, 32, 2083, 4166, 8332, 16664, 33328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66642 and 66656. The biggest common factor number is the GCF number.
So the greatest common factor 66642 and 66656 is 2.

Also check out the Least Common Multiple of 66642 and 66656