What is the Greatest Common Factor of 12525 and 12545?

Greatest common factor (GCF) of 12525 and 12545 is 5.

GCF(12525,12545) = 5

We will now calculate the prime factors of 12525 and 12545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12525 and 12545.

How to find the GCF of 12525 and 12545?

We will first find the prime factorization of 12525 and 12545. After we will calculate the factors of 12525 and 12545 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 12545

Prime factors of 12545 are 5, 13, 193. Prime factorization of 12545 in exponential form is:

12545 = 5¹ × 13¹ × 193¹

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 12545

List of positive integer factors of 12545 that divides 12525 without a remainder.

1, 5, 13, 65, 193, 965, 2509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12525 and 12545. The biggest common factor number is the GCF number.
So the greatest common factor 12525 and 12545 is 5.

Also check out the Least Common Multiple of 12525 and 12545