What is the Greatest Common Factor of 4142 and 4157?

Greatest common factor (GCF) of 4142 and 4157 is 1.

GCF(4142,4157) = 1

We will now calculate the prime factors of 4142 and 4157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4142 and 4157.

How to find the GCF of 4142 and 4157?

We will first find the prime factorization of 4142 and 4157. After we will calculate the factors of 4142 and 4157 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 4157

Prime factors of 4157 are 4157. Prime factorization of 4157 in exponential form is:

4157 = 4157¹

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 4157

List of positive integer factors of 4157 that divides 4142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4142 and 4157. The biggest common factor number is the GCF number.
So the greatest common factor 4142 and 4157 is 1.

Also check out the Least Common Multiple of 4142 and 4157