What is the Greatest Common Factor of 18513 and 18525?

Greatest common factor (GCF) of 18513 and 18525 is 3.

GCF(18513,18525) = 3

We will now calculate the prime factors of 18513 and 18525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18513 and 18525.

How to find the GCF of 18513 and 18525?

We will first find the prime factorization of 18513 and 18525. After we will calculate the factors of 18513 and 18525 and find the biggest common factor number .

Step-1: Prime Factorization of 18513

Prime factors of 18513 are 3, 11, 17. Prime factorization of 18513 in exponential form is:

18513 = 3² × 11² × 17¹

Step-2: 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-3: Factors of 18513

List of positive integer factors of 18513 that divides 18513 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 121, 153, 187, 363, 561, 1089, 1683, 2057, 6171

Step-4: Factors of 18525

List of positive integer factors of 18525 that divides 18513 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18513 and 18525. The biggest common factor number is the GCF number.
So the greatest common factor 18513 and 18525 is 3.

Also check out the Least Common Multiple of 18513 and 18525