What is the Greatest Common Factor of 18425 and 18430?

Greatest common factor (GCF) of 18425 and 18430 is 5.

GCF(18425,18430) = 5

We will now calculate the prime factors of 18425 and 18430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18425 and 18430.

How to find the GCF of 18425 and 18430?

We will first find the prime factorization of 18425 and 18430. After we will calculate the factors of 18425 and 18430 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 18430

Prime factors of 18430 are 2, 5, 19, 97. Prime factorization of 18430 in exponential form is:

18430 = 2¹ × 5¹ × 19¹ × 97¹

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 18430

List of positive integer factors of 18430 that divides 18425 without a remainder.

1, 2, 5, 10, 19, 38, 95, 97, 190, 194, 485, 970, 1843, 3686, 9215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18425 and 18430. The biggest common factor number is the GCF number.
So the greatest common factor 18425 and 18430 is 5.

Also check out the Least Common Multiple of 18425 and 18430