What is the Greatest Common Factor of 6138 and 6142?

Greatest common factor (GCF) of 6138 and 6142 is 2.

GCF(6138,6142) = 2

We will now calculate the prime factors of 6138 and 6142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6138 and 6142.

How to find the GCF of 6138 and 6142?

We will first find the prime factorization of 6138 and 6142. After we will calculate the factors of 6138 and 6142 and find the biggest common factor number .

Step-1: Prime Factorization of 6138

Prime factors of 6138 are 2, 3, 11, 31. Prime factorization of 6138 in exponential form is:

6138 = 2¹ × 3² × 11¹ × 31¹

Step-2: Prime Factorization of 6142

Prime factors of 6142 are 2, 37, 83. Prime factorization of 6142 in exponential form is:

6142 = 2¹ × 37¹ × 83¹

Step-3: Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069

Step-4: Factors of 6142

List of positive integer factors of 6142 that divides 6138 without a remainder.

1, 2, 37, 74, 83, 166, 3071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6138 and 6142. The biggest common factor number is the GCF number.
So the greatest common factor 6138 and 6142 is 2.

Also check out the Least Common Multiple of 6138 and 6142