What is the Greatest Common Factor of 18025 and 18035?

Greatest common factor (GCF) of 18025 and 18035 is 5.

GCF(18025,18035) = 5

We will now calculate the prime factors of 18025 and 18035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18025 and 18035.

How to find the GCF of 18025 and 18035?

We will first find the prime factorization of 18025 and 18035. After we will calculate the factors of 18025 and 18035 and find the biggest common factor number .

Step-1: Prime Factorization of 18025

Prime factors of 18025 are 5, 7, 103. Prime factorization of 18025 in exponential form is:

18025 = 5² × 7¹ × 103¹

Step-2: Prime Factorization of 18035

Prime factors of 18035 are 5, 3607. Prime factorization of 18035 in exponential form is:

18035 = 5¹ × 3607¹

Step-3: Factors of 18025

List of positive integer factors of 18025 that divides 18025 without a remainder.

1, 5, 7, 25, 35, 103, 175, 515, 721, 2575, 3605

Step-4: Factors of 18035

List of positive integer factors of 18035 that divides 18025 without a remainder.

1, 5, 3607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18025 and 18035. The biggest common factor number is the GCF number.
So the greatest common factor 18025 and 18035 is 5.

Also check out the Least Common Multiple of 18025 and 18035