What is the Greatest Common Factor of 18745 and 18755?

Greatest common factor (GCF) of 18745 and 18755 is 5.

GCF(18745,18755) = 5

We will now calculate the prime factors of 18745 and 18755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18745 and 18755.

How to find the GCF of 18745 and 18755?

We will first find the prime factorization of 18745 and 18755. After we will calculate the factors of 18745 and 18755 and find the biggest common factor number .

Step-1: Prime Factorization of 18745

Prime factors of 18745 are 5, 23, 163. Prime factorization of 18745 in exponential form is:

18745 = 5¹ × 23¹ × 163¹

Step-2: Prime Factorization of 18755

Prime factors of 18755 are 5, 11, 31. Prime factorization of 18755 in exponential form is:

18755 = 5¹ × 11² × 31¹

Step-3: Factors of 18745

List of positive integer factors of 18745 that divides 18745 without a remainder.

1, 5, 23, 115, 163, 815, 3749

Step-4: Factors of 18755

List of positive integer factors of 18755 that divides 18745 without a remainder.

1, 5, 11, 31, 55, 121, 155, 341, 605, 1705, 3751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18745 and 18755. The biggest common factor number is the GCF number.
So the greatest common factor 18745 and 18755 is 5.

Also check out the Least Common Multiple of 18745 and 18755