What is the Greatest Common Factor of 4138 and 4158?

Greatest common factor (GCF) of 4138 and 4158 is 2.

GCF(4138,4158) = 2

We will now calculate the prime factors of 4138 and 4158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4138 and 4158.

How to find the GCF of 4138 and 4158?

We will first find the prime factorization of 4138 and 4158. After we will calculate the factors of 4138 and 4158 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 4158

Prime factors of 4158 are 2, 3, 7, 11. Prime factorization of 4158 in exponential form is:

4158 = 2¹ × 3³ × 7¹ × 11¹

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 4158

List of positive integer factors of 4158 that divides 4138 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4138 and 4158. The biggest common factor number is the GCF number.
So the greatest common factor 4138 and 4158 is 2.

Also check out the Least Common Multiple of 4138 and 4158