What is the Greatest Common Factor of 18525 and 18544?

Greatest common factor (GCF) of 18525 and 18544 is 19.

GCF(18525,18544) = 19

We will now calculate the prime factors of 18525 and 18544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18525 and 18544.

How to find the GCF of 18525 and 18544?

We will first find the prime factorization of 18525 and 18544. After we will calculate the factors of 18525 and 18544 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 18544

Prime factors of 18544 are 2, 19, 61. Prime factorization of 18544 in exponential form is:

18544 = 2⁴ × 19¹ × 61¹

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 18544

List of positive integer factors of 18544 that divides 18525 without a remainder.

1, 2, 4, 8, 16, 19, 38, 61, 76, 122, 152, 244, 304, 488, 976, 1159, 2318, 4636, 9272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18525 and 18544. The biggest common factor number is the GCF number.
So the greatest common factor 18525 and 18544 is 19.

Also check out the Least Common Multiple of 18525 and 18544