What is the Greatest Common Factor of 4142 and 4156?

Greatest common factor (GCF) of 4142 and 4156 is 2.

GCF(4142,4156) = 2

We will now calculate the prime factors of 4142 and 4156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4142 and 4156.

How to find the GCF of 4142 and 4156?

We will first find the prime factorization of 4142 and 4156. After we will calculate the factors of 4142 and 4156 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 4156

Prime factors of 4156 are 2, 1039. Prime factorization of 4156 in exponential form is:

4156 = 2² × 1039¹

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 4156

List of positive integer factors of 4156 that divides 4142 without a remainder.

1, 2, 4, 1039, 2078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4142 and 4156. The biggest common factor number is the GCF number.
So the greatest common factor 4142 and 4156 is 2.

Also check out the Least Common Multiple of 4142 and 4156