What is the Greatest Common Factor of 43134 and 43141?

Greatest common factor (GCF) of 43134 and 43141 is 7.

GCF(43134,43141) = 7

We will now calculate the prime factors of 43134 and 43141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43134 and 43141.

How to find the GCF of 43134 and 43141?

We will first find the prime factorization of 43134 and 43141. After we will calculate the factors of 43134 and 43141 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 43141

Prime factors of 43141 are 7, 6163. Prime factorization of 43141 in exponential form is:

43141 = 7¹ × 6163¹

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 43141

List of positive integer factors of 43141 that divides 43134 without a remainder.

1, 7, 6163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43134 and 43141. The biggest common factor number is the GCF number.
So the greatest common factor 43134 and 43141 is 7.

Also check out the Least Common Multiple of 43134 and 43141