What is the Greatest Common Factor of 18544 and 18553?

Greatest common factor (GCF) of 18544 and 18553 is 1.

GCF(18544,18553) = 1

We will now calculate the prime factors of 18544 and 18553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18544 and 18553.

How to find the GCF of 18544 and 18553?

We will first find the prime factorization of 18544 and 18553. After we will calculate the factors of 18544 and 18553 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 18553

Prime factors of 18553 are 18553. Prime factorization of 18553 in exponential form is:

18553 = 18553¹

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 18553

List of positive integer factors of 18553 that divides 18544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18544 and 18553. The biggest common factor number is the GCF number.
So the greatest common factor 18544 and 18553 is 1.

Also check out the Least Common Multiple of 18544 and 18553