What is the Greatest Common Factor of 4134 and 4147?

Greatest common factor (GCF) of 4134 and 4147 is 13.

GCF(4134,4147) = 13

We will now calculate the prime factors of 4134 and 4147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4134 and 4147.

How to find the GCF of 4134 and 4147?

We will first find the prime factorization of 4134 and 4147. After we will calculate the factors of 4134 and 4147 and find the biggest common factor number .

Step-1: Prime Factorization of 4134

Prime factors of 4134 are 2, 3, 13, 53. Prime factorization of 4134 in exponential form is:

4134 = 2¹ × 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 4147

Prime factors of 4147 are 11, 13, 29. Prime factorization of 4147 in exponential form is:

4147 = 11¹ × 13¹ × 29¹

Step-3: Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067

Step-4: Factors of 4147

List of positive integer factors of 4147 that divides 4134 without a remainder.

1, 11, 13, 29, 143, 319, 377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4134 and 4147. The biggest common factor number is the GCF number.
So the greatest common factor 4134 and 4147 is 13.

Also check out the Least Common Multiple of 4134 and 4147