What is the Greatest Common Factor of 18506 and 18525?

Greatest common factor (GCF) of 18506 and 18525 is 19.

GCF(18506,18525) = 19

We will now calculate the prime factors of 18506 and 18525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18506 and 18525.

How to find the GCF of 18506 and 18525?

We will first find the prime factorization of 18506 and 18525. After we will calculate the factors of 18506 and 18525 and find the biggest common factor number .

Step-1: Prime Factorization of 18506

Prime factors of 18506 are 2, 19, 487. Prime factorization of 18506 in exponential form is:

18506 = 2¹ × 19¹ × 487¹

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 18506

List of positive integer factors of 18506 that divides 18506 without a remainder.

1, 2, 19, 38, 487, 974, 9253

Step-4: Factors of 18525

List of positive integer factors of 18525 that divides 18506 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 18506 and 18525. The biggest common factor number is the GCF number.
So the greatest common factor 18506 and 18525 is 19.

Also check out the Least Common Multiple of 18506 and 18525