What is the Greatest Common Factor of 18025 and 18030?

Greatest common factor (GCF) of 18025 and 18030 is 5.

GCF(18025,18030) = 5

We will now calculate the prime factors of 18025 and 18030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18025 and 18030.

How to find the GCF of 18025 and 18030?

We will first find the prime factorization of 18025 and 18030. After we will calculate the factors of 18025 and 18030 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 18030

Prime factors of 18030 are 2, 3, 5, 601. Prime factorization of 18030 in exponential form is:

18030 = 2¹ × 3¹ × 5¹ × 601¹

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 18030

List of positive integer factors of 18030 that divides 18025 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 601, 1202, 1803, 3005, 3606, 6010, 9015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18025 and 18030. The biggest common factor number is the GCF number.
So the greatest common factor 18025 and 18030 is 5.

Also check out the Least Common Multiple of 18025 and 18030