What is the Greatest Common Factor of 18975 and 18985?

Greatest common factor (GCF) of 18975 and 18985 is 5.

GCF(18975,18985) = 5

We will now calculate the prime factors of 18975 and 18985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18975 and 18985.

How to find the GCF of 18975 and 18985?

We will first find the prime factorization of 18975 and 18985. After we will calculate the factors of 18975 and 18985 and find the biggest common factor number .

Step-1: Prime Factorization of 18975

Prime factors of 18975 are 3, 5, 11, 23. Prime factorization of 18975 in exponential form is:

18975 = 3¹ × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 18985

Prime factors of 18985 are 5, 3797. Prime factorization of 18985 in exponential form is:

18985 = 5¹ × 3797¹

Step-3: Factors of 18975

List of positive integer factors of 18975 that divides 18975 without a remainder.

1, 3, 5, 11, 15, 23, 25, 33, 55, 69, 75, 115, 165, 253, 275, 345, 575, 759, 825, 1265, 1725, 3795, 6325

Step-4: Factors of 18985

List of positive integer factors of 18985 that divides 18975 without a remainder.

1, 5, 3797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18975 and 18985. The biggest common factor number is the GCF number.
So the greatest common factor 18975 and 18985 is 5.

Also check out the Least Common Multiple of 18975 and 18985