What is the Greatest Common Factor of 4138 and 4143?

Greatest common factor (GCF) of 4138 and 4143 is 1.

GCF(4138,4143) = 1

We will now calculate the prime factors of 4138 and 4143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4138 and 4143.

How to find the GCF of 4138 and 4143?

We will first find the prime factorization of 4138 and 4143. After we will calculate the factors of 4138 and 4143 and find the biggest common factor number .

Step-1: Prime Factorization of 4138

Prime factors of 4138 are 2, 2069. Prime factorization of 4138 in exponential form is:

4138 = 2¹ × 2069¹

Step-2: Prime Factorization of 4143

Prime factors of 4143 are 3, 1381. Prime factorization of 4143 in exponential form is:

4143 = 3¹ × 1381¹

Step-3: Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1, 2, 2069

Step-4: Factors of 4143

List of positive integer factors of 4143 that divides 4138 without a remainder.

1, 3, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4138 and 4143. The biggest common factor number is the GCF number.
So the greatest common factor 4138 and 4143 is 1.

Also check out the Least Common Multiple of 4138 and 4143