What is the Greatest Common Factor of 18544 and 18563?

Greatest common factor (GCF) of 18544 and 18563 is 19.

GCF(18544,18563) = 19

We will now calculate the prime factors of 18544 and 18563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18544 and 18563.

How to find the GCF of 18544 and 18563?

We will first find the prime factorization of 18544 and 18563. After we will calculate the factors of 18544 and 18563 and find the biggest common factor number .

Step-1: Prime Factorization of 18544

Prime factors of 18544 are 2, 19, 61. Prime factorization of 18544 in exponential form is:

18544 = 2⁴ × 19¹ × 61¹

Step-2: Prime Factorization of 18563

Prime factors of 18563 are 19, 977. Prime factorization of 18563 in exponential form is:

18563 = 19¹ × 977¹

Step-3: Factors of 18544

List of positive integer factors of 18544 that divides 18544 without a remainder.

1, 2, 4, 8, 16, 19, 38, 61, 76, 122, 152, 244, 304, 488, 976, 1159, 2318, 4636, 9272

Step-4: Factors of 18563

List of positive integer factors of 18563 that divides 18544 without a remainder.

1, 19, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18544 and 18563. The biggest common factor number is the GCF number.
So the greatest common factor 18544 and 18563 is 19.

Also check out the Least Common Multiple of 18544 and 18563