What is the Greatest Common Factor of 12565 and 12574?

Greatest common factor (GCF) of 12565 and 12574 is 1.

GCF(12565,12574) = 1

We will now calculate the prime factors of 12565 and 12574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12565 and 12574.

How to find the GCF of 12565 and 12574?

We will first find the prime factorization of 12565 and 12574. After we will calculate the factors of 12565 and 12574 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 12574

Prime factors of 12574 are 2, 6287. Prime factorization of 12574 in exponential form is:

12574 = 2¹ × 6287¹

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 12574

List of positive integer factors of 12574 that divides 12565 without a remainder.

1, 2, 6287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12565 and 12574. The biggest common factor number is the GCF number.
So the greatest common factor 12565 and 12574 is 1.

Also check out the Least Common Multiple of 12565 and 12574