What is the Greatest Common Factor of 18538 and 18547?

Greatest common factor (GCF) of 18538 and 18547 is 1.

GCF(18538,18547) = 1

We will now calculate the prime factors of 18538 and 18547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18538 and 18547.

How to find the GCF of 18538 and 18547?

We will first find the prime factorization of 18538 and 18547. After we will calculate the factors of 18538 and 18547 and find the biggest common factor number .

Step-1: Prime Factorization of 18538

Prime factors of 18538 are 2, 13, 23, 31. Prime factorization of 18538 in exponential form is:

18538 = 2¹ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 18547

Prime factors of 18547 are 17, 1091. Prime factorization of 18547 in exponential form is:

18547 = 17¹ × 1091¹

Step-3: Factors of 18538

List of positive integer factors of 18538 that divides 18538 without a remainder.

1, 2, 13, 23, 26, 31, 46, 62, 299, 403, 598, 713, 806, 1426, 9269

Step-4: Factors of 18547

List of positive integer factors of 18547 that divides 18538 without a remainder.

1, 17, 1091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18538 and 18547. The biggest common factor number is the GCF number.
So the greatest common factor 18538 and 18547 is 1.

Also check out the Least Common Multiple of 18538 and 18547