What is the Greatest Common Factor of 18605 and 18625?

Greatest common factor (GCF) of 18605 and 18625 is 5.

GCF(18605,18625) = 5

We will now calculate the prime factors of 18605 and 18625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18605 and 18625.

How to find the GCF of 18605 and 18625?

We will first find the prime factorization of 18605 and 18625. After we will calculate the factors of 18605 and 18625 and find the biggest common factor number .

Step-1: Prime Factorization of 18605

Prime factors of 18605 are 5, 61. Prime factorization of 18605 in exponential form is:

18605 = 5¹ × 61²

Step-2: Prime Factorization of 18625

Prime factors of 18625 are 5, 149. Prime factorization of 18625 in exponential form is:

18625 = 5³ × 149¹

Step-3: Factors of 18605

List of positive integer factors of 18605 that divides 18605 without a remainder.

1, 5, 61, 305, 3721

Step-4: Factors of 18625

List of positive integer factors of 18625 that divides 18605 without a remainder.

1, 5, 25, 125, 149, 745, 3725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18605 and 18625. The biggest common factor number is the GCF number.
So the greatest common factor 18605 and 18625 is 5.

Also check out the Least Common Multiple of 18605 and 18625