What is the Greatest Common Factor of 18675 and 18694?

Greatest common factor (GCF) of 18675 and 18694 is 1.

GCF(18675,18694) = 1

We will now calculate the prime factors of 18675 and 18694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18675 and 18694.

How to find the GCF of 18675 and 18694?

We will first find the prime factorization of 18675 and 18694. After we will calculate the factors of 18675 and 18694 and find the biggest common factor number .

Step-1: Prime Factorization of 18675

Prime factors of 18675 are 3, 5, 83. Prime factorization of 18675 in exponential form is:

18675 = 3² × 5² × 83¹

Step-2: Prime Factorization of 18694

Prime factors of 18694 are 2, 13, 719. Prime factorization of 18694 in exponential form is:

18694 = 2¹ × 13¹ × 719¹

Step-3: Factors of 18675

List of positive integer factors of 18675 that divides 18675 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 83, 225, 249, 415, 747, 1245, 2075, 3735, 6225

Step-4: Factors of 18694

List of positive integer factors of 18694 that divides 18675 without a remainder.

1, 2, 13, 26, 719, 1438, 9347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18675 and 18694. The biggest common factor number is the GCF number.
So the greatest common factor 18675 and 18694 is 1.

Also check out the Least Common Multiple of 18675 and 18694