What is the Greatest Common Factor of 4142 and 4159?

Greatest common factor (GCF) of 4142 and 4159 is 1.

GCF(4142,4159) = 1

We will now calculate the prime factors of 4142 and 4159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4142 and 4159.

How to find the GCF of 4142 and 4159?

We will first find the prime factorization of 4142 and 4159. After we will calculate the factors of 4142 and 4159 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4159

Prime factors of 4159 are 4159. Prime factorization of 4159 in exponential form is:

4159 = 4159¹

Step-3: Factors of 4142

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

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

Step-4: Factors of 4159

List of positive integer factors of 4159 that divides 4142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4142 and 4159. The biggest common factor number is the GCF number.
So the greatest common factor 4142 and 4159 is 1.

Also check out the Least Common Multiple of 4142 and 4159