What is the Greatest Common Factor of 12525 and 12543?

Greatest common factor (GCF) of 12525 and 12543 is 3.

GCF(12525,12543) = 3

We will now calculate the prime factors of 12525 and 12543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12525 and 12543.

How to find the GCF of 12525 and 12543?

We will first find the prime factorization of 12525 and 12543. After we will calculate the factors of 12525 and 12543 and find the biggest common factor number .

Step-1: Prime Factorization of 12525

Prime factors of 12525 are 3, 5, 167. Prime factorization of 12525 in exponential form is:

12525 = 3¹ × 5² × 167¹

Step-2: Prime Factorization of 12543

Prime factors of 12543 are 3, 37, 113. Prime factorization of 12543 in exponential form is:

12543 = 3¹ × 37¹ × 113¹

Step-3: Factors of 12525

List of positive integer factors of 12525 that divides 12525 without a remainder.

1, 3, 5, 15, 25, 75, 167, 501, 835, 2505, 4175

Step-4: Factors of 12543

List of positive integer factors of 12543 that divides 12525 without a remainder.

1, 3, 37, 111, 113, 339, 4181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12525 and 12543. The biggest common factor number is the GCF number.
So the greatest common factor 12525 and 12543 is 3.

Also check out the Least Common Multiple of 12525 and 12543