What is the Greatest Common Factor of 43134 and 43149?

Greatest common factor (GCF) of 43134 and 43149 is 3.

GCF(43134,43149) = 3

We will now calculate the prime factors of 43134 and 43149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43134 and 43149.

How to find the GCF of 43134 and 43149?

We will first find the prime factorization of 43134 and 43149. After we will calculate the factors of 43134 and 43149 and find the biggest common factor number .

Step-1: Prime Factorization of 43134

Prime factors of 43134 are 2, 3, 7, 13, 79. Prime factorization of 43134 in exponential form is:

43134 = 2¹ × 3¹ × 7¹ × 13¹ × 79¹

Step-2: Prime Factorization of 43149

Prime factors of 43149 are 3, 19, 757. Prime factorization of 43149 in exponential form is:

43149 = 3¹ × 19¹ × 757¹

Step-3: Factors of 43134

List of positive integer factors of 43134 that divides 43134 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 79, 91, 158, 182, 237, 273, 474, 546, 553, 1027, 1106, 1659, 2054, 3081, 3318, 6162, 7189, 14378, 21567

Step-4: Factors of 43149

List of positive integer factors of 43149 that divides 43134 without a remainder.

1, 3, 19, 57, 757, 2271, 14383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43134 and 43149. The biggest common factor number is the GCF number.
So the greatest common factor 43134 and 43149 is 3.

Also check out the Least Common Multiple of 43134 and 43149