What is the Greatest Common Factor of 18645 and 18656?

Greatest common factor (GCF) of 18645 and 18656 is 11.

GCF(18645,18656) = 11

We will now calculate the prime factors of 18645 and 18656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18645 and 18656.

How to find the GCF of 18645 and 18656?

We will first find the prime factorization of 18645 and 18656. After we will calculate the factors of 18645 and 18656 and find the biggest common factor number .

Step-1: Prime Factorization of 18645

Prime factors of 18645 are 3, 5, 11, 113. Prime factorization of 18645 in exponential form is:

18645 = 3¹ × 5¹ × 11¹ × 113¹

Step-2: 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-3: Factors of 18645

List of positive integer factors of 18645 that divides 18645 without a remainder.

1, 3, 5, 11, 15, 33, 55, 113, 165, 339, 565, 1243, 1695, 3729, 6215

Step-4: Factors of 18656

List of positive integer factors of 18656 that divides 18645 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18645 and 18656. The biggest common factor number is the GCF number.
So the greatest common factor 18645 and 18656 is 11.

Also check out the Least Common Multiple of 18645 and 18656