What is the Greatest Common Factor of 18735 and 18754?

Greatest common factor (GCF) of 18735 and 18754 is 1.

GCF(18735,18754) = 1

We will now calculate the prime factors of 18735 and 18754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18735 and 18754.

How to find the GCF of 18735 and 18754?

We will first find the prime factorization of 18735 and 18754. After we will calculate the factors of 18735 and 18754 and find the biggest common factor number .

Step-1: Prime Factorization of 18735

Prime factors of 18735 are 3, 5, 1249. Prime factorization of 18735 in exponential form is:

18735 = 3¹ × 5¹ × 1249¹

Step-2: Prime Factorization of 18754

Prime factors of 18754 are 2, 9377. Prime factorization of 18754 in exponential form is:

18754 = 2¹ × 9377¹

Step-3: Factors of 18735

List of positive integer factors of 18735 that divides 18735 without a remainder.

1, 3, 5, 15, 1249, 3747, 6245

Step-4: Factors of 18754

List of positive integer factors of 18754 that divides 18735 without a remainder.

1, 2, 9377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18735 and 18754. The biggest common factor number is the GCF number.
So the greatest common factor 18735 and 18754 is 1.

Also check out the Least Common Multiple of 18735 and 18754