What is the Greatest Common Factor of 18675 and 18688?

Greatest common factor (GCF) of 18675 and 18688 is 1.

GCF(18675,18688) = 1

We will now calculate the prime factors of 18675 and 18688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18675 and 18688.

How to find the GCF of 18675 and 18688?

We will first find the prime factorization of 18675 and 18688. After we will calculate the factors of 18675 and 18688 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 18688

Prime factors of 18688 are 2, 73. Prime factorization of 18688 in exponential form is:

18688 = 2⁸ × 73¹

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 18688

List of positive integer factors of 18688 that divides 18675 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 584, 1168, 2336, 4672, 9344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18675 and 18688. The biggest common factor number is the GCF number.
So the greatest common factor 18675 and 18688 is 1.

Also check out the Least Common Multiple of 18675 and 18688