What is the Greatest Common Factor of 18755 and 18775?

Greatest common factor (GCF) of 18755 and 18775 is 5.

GCF(18755,18775) = 5

We will now calculate the prime factors of 18755 and 18775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18755 and 18775.

How to find the GCF of 18755 and 18775?

We will first find the prime factorization of 18755 and 18775. After we will calculate the factors of 18755 and 18775 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18775

Prime factors of 18775 are 5, 751. Prime factorization of 18775 in exponential form is:

18775 = 5² × 751¹

Step-3: Factors of 18755

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

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

Step-4: Factors of 18775

List of positive integer factors of 18775 that divides 18755 without a remainder.

1, 5, 25, 751, 3755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18755 and 18775. The biggest common factor number is the GCF number.
So the greatest common factor 18755 and 18775 is 5.

Also check out the Least Common Multiple of 18755 and 18775