What is the Greatest Common Factor of 18625 and 18634?

Greatest common factor (GCF) of 18625 and 18634 is 1.

GCF(18625,18634) = 1

We will now calculate the prime factors of 18625 and 18634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18625 and 18634.

How to find the GCF of 18625 and 18634?

We will first find the prime factorization of 18625 and 18634. After we will calculate the factors of 18625 and 18634 and find the biggest common factor number .

Step-1: Prime Factorization of 18625

Prime factors of 18625 are 5, 149. Prime factorization of 18625 in exponential form is:

18625 = 5³ × 149¹

Step-2: Prime Factorization of 18634

Prime factors of 18634 are 2, 7, 11. Prime factorization of 18634 in exponential form is:

18634 = 2¹ × 7¹ × 11³

Step-3: Factors of 18625

List of positive integer factors of 18625 that divides 18625 without a remainder.

1, 5, 25, 125, 149, 745, 3725

Step-4: Factors of 18634

List of positive integer factors of 18634 that divides 18625 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1331, 1694, 2662, 9317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18625 and 18634. The biggest common factor number is the GCF number.
So the greatest common factor 18625 and 18634 is 1.

Also check out the Least Common Multiple of 18625 and 18634