What is the Greatest Common Factor of 18525 and 18540?

Greatest common factor (GCF) of 18525 and 18540 is 15.

GCF(18525,18540) = 15

We will now calculate the prime factors of 18525 and 18540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18525 and 18540.

How to find the GCF of 18525 and 18540?

We will first find the prime factorization of 18525 and 18540. After we will calculate the factors of 18525 and 18540 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 18540

Prime factors of 18540 are 2, 3, 5, 103. Prime factorization of 18540 in exponential form is:

18540 = 2² × 3² × 5¹ × 103¹

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 18540

List of positive integer factors of 18540 that divides 18525 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 103, 180, 206, 309, 412, 515, 618, 927, 1030, 1236, 1545, 1854, 2060, 3090, 3708, 4635, 6180, 9270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18525 and 18540. The biggest common factor number is the GCF number.
So the greatest common factor 18525 and 18540 is 15.

Also check out the Least Common Multiple of 18525 and 18540