What is the Greatest Common Factor of 12560 and 12565?

Greatest common factor (GCF) of 12560 and 12565 is 5.

GCF(12560,12565) = 5

We will now calculate the prime factors of 12560 and 12565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12560 and 12565.

How to find the GCF of 12560 and 12565?

We will first find the prime factorization of 12560 and 12565. After we will calculate the factors of 12560 and 12565 and find the biggest common factor number .

Step-1: Prime Factorization of 12560

Prime factors of 12560 are 2, 5, 157. Prime factorization of 12560 in exponential form is:

12560 = 2⁴ × 5¹ × 157¹

Step-2: 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-3: Factors of 12560

List of positive integer factors of 12560 that divides 12560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 157, 314, 628, 785, 1256, 1570, 2512, 3140, 6280

Step-4: Factors of 12565

List of positive integer factors of 12565 that divides 12560 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12560 and 12565. The biggest common factor number is the GCF number.
So the greatest common factor 12560 and 12565 is 5.

Also check out the Least Common Multiple of 12560 and 12565