What is the Greatest Common Factor of 12565 and 12575?

Greatest common factor (GCF) of 12565 and 12575 is 5.

GCF(12565,12575) = 5

We will now calculate the prime factors of 12565 and 12575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12565 and 12575.

How to find the GCF of 12565 and 12575?

We will first find the prime factorization of 12565 and 12575. After we will calculate the factors of 12565 and 12575 and find the biggest common factor number .

Step-1: Prime Factorization of 12565

Prime factors of 12565 are 5, 7, 359. Prime factorization of 12565 in exponential form is:

12565 = 5¹ × 7¹ × 359¹

Step-2: Prime Factorization of 12575

Prime factors of 12575 are 5, 503. Prime factorization of 12575 in exponential form is:

12575 = 5² × 503¹

Step-3: Factors of 12565

List of positive integer factors of 12565 that divides 12565 without a remainder.

1, 5, 7, 35, 359, 1795, 2513

Step-4: Factors of 12575

List of positive integer factors of 12575 that divides 12565 without a remainder.

1, 5, 25, 503, 2515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12565 and 12575. The biggest common factor number is the GCF number.
So the greatest common factor 12565 and 12575 is 5.

Also check out the Least Common Multiple of 12565 and 12575