What is the Greatest Common Factor of 4158 and 4167?

Greatest common factor (GCF) of 4158 and 4167 is 9.

GCF(4158,4167) = 9

We will now calculate the prime factors of 4158 and 4167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4158 and 4167.

How to find the GCF of 4158 and 4167?

We will first find the prime factorization of 4158 and 4167. After we will calculate the factors of 4158 and 4167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4167

Prime factors of 4167 are 3, 463. Prime factorization of 4167 in exponential form is:

4167 = 3² × 463¹

Step-3: Factors of 4158

List of positive integer factors of 4158 that divides 4158 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

Step-4: Factors of 4167

List of positive integer factors of 4167 that divides 4158 without a remainder.

1, 3, 9, 463, 1389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4158 and 4167. The biggest common factor number is the GCF number.
So the greatest common factor 4158 and 4167 is 9.

Also check out the Least Common Multiple of 4158 and 4167