What is the Greatest Common Factor of 18525 and 18537?

Greatest common factor (GCF) of 18525 and 18537 is 3.

GCF(18525,18537) = 3

We will now calculate the prime factors of 18525 and 18537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18525 and 18537.

How to find the GCF of 18525 and 18537?

We will first find the prime factorization of 18525 and 18537. After we will calculate the factors of 18525 and 18537 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 18537

Prime factors of 18537 are 3, 37, 167. Prime factorization of 18537 in exponential form is:

18537 = 3¹ × 37¹ × 167¹

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 18537

List of positive integer factors of 18537 that divides 18525 without a remainder.

1, 3, 37, 111, 167, 501, 6179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18525 and 18537. The biggest common factor number is the GCF number.
So the greatest common factor 18525 and 18537 is 3.

Also check out the Least Common Multiple of 18525 and 18537