What is the Greatest Common Factor of 18011 and 18025?

Greatest common factor (GCF) of 18011 and 18025 is 7.

GCF(18011,18025) = 7

We will now calculate the prime factors of 18011 and 18025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18011 and 18025.

How to find the GCF of 18011 and 18025?

We will first find the prime factorization of 18011 and 18025. After we will calculate the factors of 18011 and 18025 and find the biggest common factor number .

Step-1: Prime Factorization of 18011

Prime factors of 18011 are 7, 31, 83. Prime factorization of 18011 in exponential form is:

18011 = 7¹ × 31¹ × 83¹

Step-2: 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-3: Factors of 18011

List of positive integer factors of 18011 that divides 18011 without a remainder.

1, 7, 31, 83, 217, 581, 2573

Step-4: Factors of 18025

List of positive integer factors of 18025 that divides 18011 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18011 and 18025. The biggest common factor number is the GCF number.
So the greatest common factor 18011 and 18025 is 7.

Also check out the Least Common Multiple of 18011 and 18025