What is the Greatest Common Factor of 18425 and 18441?

Greatest common factor (GCF) of 18425 and 18441 is 1.

GCF(18425,18441) = 1

We will now calculate the prime factors of 18425 and 18441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18425 and 18441.

How to find the GCF of 18425 and 18441?

We will first find the prime factorization of 18425 and 18441. After we will calculate the factors of 18425 and 18441 and find the biggest common factor number .

Step-1: Prime Factorization of 18425

Prime factors of 18425 are 5, 11, 67. Prime factorization of 18425 in exponential form is:

18425 = 5² × 11¹ × 67¹

Step-2: Prime Factorization of 18441

Prime factors of 18441 are 3, 683. Prime factorization of 18441 in exponential form is:

18441 = 3³ × 683¹

Step-3: Factors of 18425

List of positive integer factors of 18425 that divides 18425 without a remainder.

1, 5, 11, 25, 55, 67, 275, 335, 737, 1675, 3685

Step-4: Factors of 18441

List of positive integer factors of 18441 that divides 18425 without a remainder.

1, 3, 9, 27, 683, 2049, 6147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18425 and 18441. The biggest common factor number is the GCF number.
So the greatest common factor 18425 and 18441 is 1.

Also check out the Least Common Multiple of 18425 and 18441