What is the Greatest Common Factor of 12560 and 12570?

Greatest common factor (GCF) of 12560 and 12570 is 10.

GCF(12560,12570) = 10

We will now calculate the prime factors of 12560 and 12570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12560 and 12570.

How to find the GCF of 12560 and 12570?

We will first find the prime factorization of 12560 and 12570. After we will calculate the factors of 12560 and 12570 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 12570

Prime factors of 12570 are 2, 3, 5, 419. Prime factorization of 12570 in exponential form is:

12570 = 2¹ × 3¹ × 5¹ × 419¹

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 12570

List of positive integer factors of 12570 that divides 12560 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 419, 838, 1257, 2095, 2514, 4190, 6285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12560 and 12570. The biggest common factor number is the GCF number.
So the greatest common factor 12560 and 12570 is 10.

Also check out the Least Common Multiple of 12560 and 12570