What is the Greatest Common Factor of 18675 and 18680?

Greatest common factor (GCF) of 18675 and 18680 is 5.

GCF(18675,18680) = 5

We will now calculate the prime factors of 18675 and 18680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18675 and 18680.

How to find the GCF of 18675 and 18680?

We will first find the prime factorization of 18675 and 18680. After we will calculate the factors of 18675 and 18680 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 18680

Prime factors of 18680 are 2, 5, 467. Prime factorization of 18680 in exponential form is:

18680 = 2³ × 5¹ × 467¹

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 18680

List of positive integer factors of 18680 that divides 18675 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 467, 934, 1868, 2335, 3736, 4670, 9340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18675 and 18680. The biggest common factor number is the GCF number.
So the greatest common factor 18675 and 18680 is 5.

Also check out the Least Common Multiple of 18675 and 18680