What is the Greatest Common Factor of 18512 and 18525?

Greatest common factor (GCF) of 18512 and 18525 is 13.

GCF(18512,18525) = 13

We will now calculate the prime factors of 18512 and 18525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18512 and 18525.

How to find the GCF of 18512 and 18525?

We will first find the prime factorization of 18512 and 18525. After we will calculate the factors of 18512 and 18525 and find the biggest common factor number .

Step-1: Prime Factorization of 18512

Prime factors of 18512 are 2, 13, 89. Prime factorization of 18512 in exponential form is:

18512 = 2⁴ × 13¹ × 89¹

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 18512

List of positive integer factors of 18512 that divides 18512 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 89, 104, 178, 208, 356, 712, 1157, 1424, 2314, 4628, 9256

Step-4: Factors of 18525

List of positive integer factors of 18525 that divides 18512 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 18512 and 18525. The biggest common factor number is the GCF number.
So the greatest common factor 18512 and 18525 is 13.

Also check out the Least Common Multiple of 18512 and 18525