What is the Greatest Common Factor of 43120 and 43134?

Greatest common factor (GCF) of 43120 and 43134 is 14.

GCF(43120,43134) = 14

We will now calculate the prime factors of 43120 and 43134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43120 and 43134.

How to find the GCF of 43120 and 43134?

We will first find the prime factorization of 43120 and 43134. After we will calculate the factors of 43120 and 43134 and find the biggest common factor number .

Step-1: Prime Factorization of 43120

Prime factors of 43120 are 2, 5, 7, 11. Prime factorization of 43120 in exponential form is:

43120 = 2⁴ × 5¹ × 7² × 11¹

Step-2: 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-3: Factors of 43120

List of positive integer factors of 43120 that divides 43120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 49, 55, 56, 70, 77, 80, 88, 98, 110, 112, 140, 154, 176, 196, 220, 245, 280, 308, 385, 392, 440, 490, 539, 560, 616, 770, 784, 880, 980, 1078, 1232, 1540, 1960, 2156, 2695, 3080, 3920, 4312, 5390, 6160, 8624, 10780, 21560

Step-4: Factors of 43134

List of positive integer factors of 43134 that divides 43120 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43120 and 43134. The biggest common factor number is the GCF number.
So the greatest common factor 43120 and 43134 is 14.

Also check out the Least Common Multiple of 43120 and 43134