What is the Greatest Common Factor of 12874 and 12888?

Greatest common factor (GCF) of 12874 and 12888 is 2.

GCF(12874,12888) = 2

We will now calculate the prime factors of 12874 and 12888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12874 and 12888.

How to find the GCF of 12874 and 12888?

We will first find the prime factorization of 12874 and 12888. After we will calculate the factors of 12874 and 12888 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 12888

Prime factors of 12888 are 2, 3, 179. Prime factorization of 12888 in exponential form is:

12888 = 2³ × 3² × 179¹

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 12888

List of positive integer factors of 12888 that divides 12874 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 179, 358, 537, 716, 1074, 1432, 1611, 2148, 3222, 4296, 6444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12874 and 12888. The biggest common factor number is the GCF number.
So the greatest common factor 12874 and 12888 is 2.

Also check out the Least Common Multiple of 12874 and 12888