What is the Greatest Common Factor of 12838 and 12858?

Greatest common factor (GCF) of 12838 and 12858 is 2.

GCF(12838,12858) = 2

We will now calculate the prime factors of 12838 and 12858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12838 and 12858.

How to find the GCF of 12838 and 12858?

We will first find the prime factorization of 12838 and 12858. After we will calculate the factors of 12838 and 12858 and find the biggest common factor number .

Step-1: Prime Factorization of 12838

Prime factors of 12838 are 2, 7, 131. Prime factorization of 12838 in exponential form is:

12838 = 2¹ × 7² × 131¹

Step-2: Prime Factorization of 12858

Prime factors of 12858 are 2, 3, 2143. Prime factorization of 12858 in exponential form is:

12858 = 2¹ × 3¹ × 2143¹

Step-3: Factors of 12838

List of positive integer factors of 12838 that divides 12838 without a remainder.

1, 2, 7, 14, 49, 98, 131, 262, 917, 1834, 6419

Step-4: Factors of 12858

List of positive integer factors of 12858 that divides 12838 without a remainder.

1, 2, 3, 6, 2143, 4286, 6429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12838 and 12858. The biggest common factor number is the GCF number.
So the greatest common factor 12838 and 12858 is 2.

Also check out the Least Common Multiple of 12838 and 12858