What is the Greatest Common Factor of 4136 and 4142?

Greatest common factor (GCF) of 4136 and 4142 is 2.

GCF(4136,4142) = 2

We will now calculate the prime factors of 4136 and 4142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4136 and 4142.

How to find the GCF of 4136 and 4142?

We will first find the prime factorization of 4136 and 4142. After we will calculate the factors of 4136 and 4142 and find the biggest common factor number .

Step-1: Prime Factorization of 4136

Prime factors of 4136 are 2, 11, 47. Prime factorization of 4136 in exponential form is:

4136 = 2³ × 11¹ × 47¹

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 4136

List of positive integer factors of 4136 that divides 4136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068

Step-4: Factors of 4142

List of positive integer factors of 4142 that divides 4136 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4136 and 4142. The biggest common factor number is the GCF number.
So the greatest common factor 4136 and 4142 is 2.

Also check out the Least Common Multiple of 4136 and 4142