What is the Greatest Common Factor of 18525 and 18538?

Greatest common factor (GCF) of 18525 and 18538 is 13.

GCF(18525,18538) = 13

We will now calculate the prime factors of 18525 and 18538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18525 and 18538.

How to find the GCF of 18525 and 18538?

We will first find the prime factorization of 18525 and 18538. After we will calculate the factors of 18525 and 18538 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 18538

Prime factors of 18538 are 2, 13, 23, 31. Prime factorization of 18538 in exponential form is:

18538 = 2¹ × 13¹ × 23¹ × 31¹

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 18538

List of positive integer factors of 18538 that divides 18525 without a remainder.

1, 2, 13, 23, 26, 31, 46, 62, 299, 403, 598, 713, 806, 1426, 9269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18525 and 18538. The biggest common factor number is the GCF number.
So the greatest common factor 18525 and 18538 is 13.

Also check out the Least Common Multiple of 18525 and 18538