What is the Greatest Common Factor of 6142 and 6158?

Greatest common factor (GCF) of 6142 and 6158 is 2.

GCF(6142,6158) = 2

We will now calculate the prime factors of 6142 and 6158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6142 and 6158.

How to find the GCF of 6142 and 6158?

We will first find the prime factorization of 6142 and 6158. After we will calculate the factors of 6142 and 6158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6158

Prime factors of 6158 are 2, 3079. Prime factorization of 6158 in exponential form is:

6158 = 2¹ × 3079¹

Step-3: Factors of 6142

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

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

Step-4: Factors of 6158

List of positive integer factors of 6158 that divides 6142 without a remainder.

1, 2, 3079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6142 and 6158. The biggest common factor number is the GCF number.
So the greatest common factor 6142 and 6158 is 2.

Also check out the Least Common Multiple of 6142 and 6158