What is the Greatest Common Factor of 12874 and 12890?

Greatest common factor (GCF) of 12874 and 12890 is 2.

GCF(12874,12890) = 2

We will now calculate the prime factors of 12874 and 12890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12874 and 12890.

How to find the GCF of 12874 and 12890?

We will first find the prime factorization of 12874 and 12890. After we will calculate the factors of 12874 and 12890 and find the biggest common factor number .

Step-1: Prime Factorization of 12874

Prime factors of 12874 are 2, 41, 157. Prime factorization of 12874 in exponential form is:

12874 = 2¹ × 41¹ × 157¹

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 12874

List of positive integer factors of 12874 that divides 12874 without a remainder.

1, 2, 41, 82, 157, 314, 6437

Step-4: Factors of 12890

List of positive integer factors of 12890 that divides 12874 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12874 and 12890. The biggest common factor number is the GCF number.
So the greatest common factor 12874 and 12890 is 2.

Also check out the Least Common Multiple of 12874 and 12890