What is the Greatest Common Factor of 18975 and 18991?

Greatest common factor (GCF) of 18975 and 18991 is 1.

GCF(18975,18991) = 1

We will now calculate the prime factors of 18975 and 18991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18975 and 18991.

How to find the GCF of 18975 and 18991?

We will first find the prime factorization of 18975 and 18991. After we will calculate the factors of 18975 and 18991 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 18991

Prime factors of 18991 are 7, 2713. Prime factorization of 18991 in exponential form is:

18991 = 7¹ × 2713¹

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 18991

List of positive integer factors of 18991 that divides 18975 without a remainder.

1, 7, 2713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18975 and 18991. The biggest common factor number is the GCF number.
So the greatest common factor 18975 and 18991 is 1.

Also check out the Least Common Multiple of 18975 and 18991