What is the Greatest Common Factor of 18425 and 18437?

Greatest common factor (GCF) of 18425 and 18437 is 1.

GCF(18425,18437) = 1

We will now calculate the prime factors of 18425 and 18437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18425 and 18437.

How to find the GCF of 18425 and 18437?

We will first find the prime factorization of 18425 and 18437. After we will calculate the factors of 18425 and 18437 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 18437

Prime factors of 18437 are 103, 179. Prime factorization of 18437 in exponential form is:

18437 = 103¹ × 179¹

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 18437

List of positive integer factors of 18437 that divides 18425 without a remainder.

1, 103, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18425 and 18437. The biggest common factor number is the GCF number.
So the greatest common factor 18425 and 18437 is 1.

Also check out the Least Common Multiple of 18425 and 18437