What is the Greatest Common Factor of 12874 and 12893?

Greatest common factor (GCF) of 12874 and 12893 is 1.

GCF(12874,12893) = 1

We will now calculate the prime factors of 12874 and 12893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12874 and 12893.

How to find the GCF of 12874 and 12893?

We will first find the prime factorization of 12874 and 12893. After we will calculate the factors of 12874 and 12893 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 12893

Prime factors of 12893 are 12893. Prime factorization of 12893 in exponential form is:

12893 = 12893¹

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 12893

List of positive integer factors of 12893 that divides 12874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12874 and 12893. The biggest common factor number is the GCF number.
So the greatest common factor 12874 and 12893 is 1.

Also check out the Least Common Multiple of 12874 and 12893