What is the Greatest Common Factor of 43120 and 43130?

Greatest common factor (GCF) of 43120 and 43130 is 10.

GCF(43120,43130) = 10

We will now calculate the prime factors of 43120 and 43130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43120 and 43130.

How to find the GCF of 43120 and 43130?

We will first find the prime factorization of 43120 and 43130. After we will calculate the factors of 43120 and 43130 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 43130

Prime factors of 43130 are 2, 5, 19, 227. Prime factorization of 43130 in exponential form is:

43130 = 2¹ × 5¹ × 19¹ × 227¹

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 43130

List of positive integer factors of 43130 that divides 43120 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 227, 454, 1135, 2270, 4313, 8626, 21565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43120 and 43130. The biggest common factor number is the GCF number.
So the greatest common factor 43120 and 43130 is 10.

Also check out the Least Common Multiple of 43120 and 43130