What is the Greatest Common Factor of 18525 and 18545?

Greatest common factor (GCF) of 18525 and 18545 is 5.

GCF(18525,18545) = 5

We will now calculate the prime factors of 18525 and 18545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18525 and 18545.

How to find the GCF of 18525 and 18545?

We will first find the prime factorization of 18525 and 18545. After we will calculate the factors of 18525 and 18545 and find the biggest common factor number .

Step-1: Prime Factorization of 18525

Prime factors of 18525 are 3, 5, 13, 19. Prime factorization of 18525 in exponential form is:

18525 = 3¹ × 5² × 13¹ × 19¹

Step-2: Prime Factorization of 18545

Prime factors of 18545 are 5, 3709. Prime factorization of 18545 in exponential form is:

18545 = 5¹ × 3709¹

Step-3: Factors of 18525

List of positive integer factors of 18525 that divides 18525 without a remainder.

1, 3, 5, 13, 15, 19, 25, 39, 57, 65, 75, 95, 195, 247, 285, 325, 475, 741, 975, 1235, 1425, 3705, 6175

Step-4: Factors of 18545

List of positive integer factors of 18545 that divides 18525 without a remainder.

1, 5, 3709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18525 and 18545. The biggest common factor number is the GCF number.
So the greatest common factor 18525 and 18545 is 5.

Also check out the Least Common Multiple of 18525 and 18545