What is the Greatest Common Factor of 12725 and 12743?

Greatest common factor (GCF) of 12725 and 12743 is 1.

GCF(12725,12743) = 1

We will now calculate the prime factors of 12725 and 12743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12725 and 12743.

How to find the GCF of 12725 and 12743?

We will first find the prime factorization of 12725 and 12743. After we will calculate the factors of 12725 and 12743 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 12743

Prime factors of 12743 are 12743. Prime factorization of 12743 in exponential form is:

12743 = 12743¹

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 12743

List of positive integer factors of 12743 that divides 12725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12725 and 12743. The biggest common factor number is the GCF number.
So the greatest common factor 12725 and 12743 is 1.

Also check out the Least Common Multiple of 12725 and 12743