What is the Greatest Common Factor of 18656 and 18667?

Greatest common factor (GCF) of 18656 and 18667 is 11.

GCF(18656,18667) = 11

We will now calculate the prime factors of 18656 and 18667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18656 and 18667.

How to find the GCF of 18656 and 18667?

We will first find the prime factorization of 18656 and 18667. After we will calculate the factors of 18656 and 18667 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 18667

Prime factors of 18667 are 11, 1697. Prime factorization of 18667 in exponential form is:

18667 = 11¹ × 1697¹

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 18667

List of positive integer factors of 18667 that divides 18656 without a remainder.

1, 11, 1697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18656 and 18667. The biggest common factor number is the GCF number.
So the greatest common factor 18656 and 18667 is 11.

Also check out the Least Common Multiple of 18656 and 18667