What is the Greatest Common Factor of 4123 and 4142?

Greatest common factor (GCF) of 4123 and 4142 is 19.

GCF(4123,4142) = 19

We will now calculate the prime factors of 4123 and 4142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4123 and 4142.

How to find the GCF of 4123 and 4142?

We will first find the prime factorization of 4123 and 4142. After we will calculate the factors of 4123 and 4142 and find the biggest common factor number .

Step-1: Prime Factorization of 4123

Prime factors of 4123 are 7, 19, 31. Prime factorization of 4123 in exponential form is:

4123 = 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 4142

Prime factors of 4142 are 2, 19, 109. Prime factorization of 4142 in exponential form is:

4142 = 2¹ × 19¹ × 109¹

Step-3: Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1, 7, 19, 31, 133, 217, 589

Step-4: Factors of 4142

List of positive integer factors of 4142 that divides 4123 without a remainder.

1, 2, 19, 38, 109, 218, 2071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4123 and 4142. The biggest common factor number is the GCF number.
So the greatest common factor 4123 and 4142 is 19.

Also check out the Least Common Multiple of 4123 and 4142