What is the Greatest Common Factor of 12725 and 12735?

Greatest common factor (GCF) of 12725 and 12735 is 5.

GCF(12725,12735) = 5

We will now calculate the prime factors of 12725 and 12735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12725 and 12735.

How to find the GCF of 12725 and 12735?

We will first find the prime factorization of 12725 and 12735. After we will calculate the factors of 12725 and 12735 and find the biggest common factor number .

Step-1: Prime Factorization of 12725

Prime factors of 12725 are 5, 509. Prime factorization of 12725 in exponential form is:

12725 = 5² × 509¹

Step-2: Prime Factorization of 12735

Prime factors of 12735 are 3, 5, 283. Prime factorization of 12735 in exponential form is:

12735 = 3² × 5¹ × 283¹

Step-3: Factors of 12725

List of positive integer factors of 12725 that divides 12725 without a remainder.

1, 5, 25, 509, 2545

Step-4: Factors of 12735

List of positive integer factors of 12735 that divides 12725 without a remainder.

1, 3, 5, 9, 15, 45, 283, 849, 1415, 2547, 4245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12725 and 12735. The biggest common factor number is the GCF number.
So the greatest common factor 12725 and 12735 is 5.

Also check out the Least Common Multiple of 12725 and 12735