What is the Greatest Common Factor of 18656 and 18664?

Greatest common factor (GCF) of 18656 and 18664 is 8.

GCF(18656,18664) = 8

We will now calculate the prime factors of 18656 and 18664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18656 and 18664.

How to find the GCF of 18656 and 18664?

We will first find the prime factorization of 18656 and 18664. After we will calculate the factors of 18656 and 18664 and find the biggest common factor number .

Step-1: Prime Factorization of 18656

Prime factors of 18656 are 2, 11, 53. Prime factorization of 18656 in exponential form is:

18656 = 2⁵ × 11¹ × 53¹

Step-2: Prime Factorization of 18664

Prime factors of 18664 are 2, 2333. Prime factorization of 18664 in exponential form is:

18664 = 2³ × 2333¹

Step-3: Factors of 18656

List of positive integer factors of 18656 that divides 18656 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 53, 88, 106, 176, 212, 352, 424, 583, 848, 1166, 1696, 2332, 4664, 9328

Step-4: Factors of 18664

List of positive integer factors of 18664 that divides 18656 without a remainder.

1, 2, 4, 8, 2333, 4666, 9332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18656 and 18664. The biggest common factor number is the GCF number.
So the greatest common factor 18656 and 18664 is 8.

Also check out the Least Common Multiple of 18656 and 18664