What is the Greatest Common Factor of 4158 and 4172?

Greatest common factor (GCF) of 4158 and 4172 is 14.

GCF(4158,4172) = 14

We will now calculate the prime factors of 4158 and 4172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4158 and 4172.

How to find the GCF of 4158 and 4172?

We will first find the prime factorization of 4158 and 4172. After we will calculate the factors of 4158 and 4172 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 4172

Prime factors of 4172 are 2, 7, 149. Prime factorization of 4172 in exponential form is:

4172 = 2² × 7¹ × 149¹

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 4172

List of positive integer factors of 4172 that divides 4158 without a remainder.

1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4158 and 4172. The biggest common factor number is the GCF number.
So the greatest common factor 4158 and 4172 is 14.

Also check out the Least Common Multiple of 4158 and 4172