What is the Greatest Common Factor of 12870 and 12890?

Greatest common factor (GCF) of 12870 and 12890 is 10.

GCF(12870,12890) = 10

We will now calculate the prime factors of 12870 and 12890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12870 and 12890.

How to find the GCF of 12870 and 12890?

We will first find the prime factorization of 12870 and 12890. After we will calculate the factors of 12870 and 12890 and find the biggest common factor number .

Step-1: Prime Factorization of 12870

Prime factors of 12870 are 2, 3, 5, 11, 13. Prime factorization of 12870 in exponential form is:

12870 = 2¹ × 3² × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 12890

Prime factors of 12890 are 2, 5, 1289. Prime factorization of 12890 in exponential form is:

12890 = 2¹ × 5¹ × 1289¹

Step-3: Factors of 12870

List of positive integer factors of 12870 that divides 12870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 26, 30, 33, 39, 45, 55, 65, 66, 78, 90, 99, 110, 117, 130, 143, 165, 195, 198, 234, 286, 330, 390, 429, 495, 585, 715, 858, 990, 1170, 1287, 1430, 2145, 2574, 4290, 6435

Step-4: Factors of 12890

List of positive integer factors of 12890 that divides 12870 without a remainder.

1, 2, 5, 10, 1289, 2578, 6445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12870 and 12890. The biggest common factor number is the GCF number.
So the greatest common factor 12870 and 12890 is 10.

Also check out the Least Common Multiple of 12870 and 12890