What is the Greatest Common Factor of 12670 and 12680?

Greatest common factor (GCF) of 12670 and 12680 is 10.

GCF(12670,12680) = 10

We will now calculate the prime factors of 12670 and 12680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12670 and 12680.

How to find the GCF of 12670 and 12680?

We will first find the prime factorization of 12670 and 12680. After we will calculate the factors of 12670 and 12680 and find the biggest common factor number .

Step-1: Prime Factorization of 12670

Prime factors of 12670 are 2, 5, 7, 181. Prime factorization of 12670 in exponential form is:

12670 = 2¹ × 5¹ × 7¹ × 181¹

Step-2: Prime Factorization of 12680

Prime factors of 12680 are 2, 5, 317. Prime factorization of 12680 in exponential form is:

12680 = 2³ × 5¹ × 317¹

Step-3: Factors of 12670

List of positive integer factors of 12670 that divides 12670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 181, 362, 905, 1267, 1810, 2534, 6335

Step-4: Factors of 12680

List of positive integer factors of 12680 that divides 12670 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 317, 634, 1268, 1585, 2536, 3170, 6340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12670 and 12680. The biggest common factor number is the GCF number.
So the greatest common factor 12670 and 12680 is 10.

Also check out the Least Common Multiple of 12670 and 12680